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LCM for 90 and 475

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 475?

Answer

LCM of 90 and 475 is 8,550

(Eight thousand, five hundred fifty)

Finding LCM for 90 and 475 using GCF of these numbers

The first method to find LCM for numbers 90 and 475 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 475 is 5, so

LCM = (90 × 475) ÷ 5

LCM = 42750 ÷ 5

LCM = 8550

Finding LCM for 90 and 475 by Listing Multiples

The second method to find LCM for numbers 90 and 475 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160, 2250, 2340, 2430, 2520, 2610, 2700, 2790, 2880, 2970, 3060, 3150, 3240, 3330, 3420, 3510, 3600, 3690, 3780, 3870, 3960, 4050, 4140, 4230, 4320, 4410, 4500, 4590, 4680, 4770, 4860, 4950, 5040, 5130, 5220, 5310, 5400, 5490, 5580, 5670, 5760, 5850, 5940, 6030, 6120, 6210, 6300, 6390, 6480, 6570, 6660, 6750, 6840, 6930, 7020, 7110, 7200, 7290, 7380, 7470, 7560, 7650, 7740, 7830, 7920, 8010, 8100, 8190, 8280, 8370, 8460, 8550, 8640, 8730

Multiples of 475: 475, 950, 1425, 1900, 2375, 2850, 3325, 3800, 4275, 4750, 5225, 5700, 6175, 6650, 7125, 7600, 8075, 8550, 9025, 9500

So the LCM for 90 and 475 is 8550

Finding LCM for 90 and 475 by Prime Factorization

Another method to find LCM for numbers 90 and 475 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

All Prime Factors of 475: 5, 5, 19 (exponent form: 52, 191)

21 × 32 × 52 × 191 = 8550

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What is the LCM of 90 and 475?. Find the LCM of 90 and 475 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/90--475/generated.jpgCopy

LCM Table

Number 1Number 2LCM
754751425
764751900
7747536575
7847537050
7947537525
804757600
8147538475
8247538950
8347539425
8447539900
854758075
8647540850
8747541325
8847541800
8947542275
904758550
9147543225
9247543700
9347544175
9447544650
95475475
9647545600
9747546075
9847546550
9947547025
1004751900
10147547975
10247548450
10347548925
10447549400

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 90 and 475? (The answer is: 8550). Select the first number (e.g. '90') and the second number (e.g. '475'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 90 and 475?

LCM of 90 and 475 is 8,550

How to find the LCM of 90 and 475 using prime factorization?

To find the LCM of 90 and 475, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 8,550.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 90 and 475: LCM = 8,550, GCF = 5.

See Also