LCM for 90 and 460

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 460?

Answer

LCM of 90 and 460 is 4,140

(Four thousand, one hundred forty)

Finding LCM for 90 and 460 using GCF of these numbers

The first method to find LCM for numbers 90 and 460 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 460 is 10, so

LCM = (90 × 460) ÷ 10

LCM = 41400 ÷ 10

LCM = 4140

Finding LCM for 90 and 460 by Listing Multiples

The second method to find LCM for numbers 90 and 460 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

Multiples of 460: 460, 920, 1380, 1840, 2300, 2760, 3220, 3680, 4140, 4600, 5060

So the LCM for 90 and 460 is 4140

Finding LCM for 90 and 460 by Prime Factorization

Another method to find LCM for numbers 90 and 460 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 460: 2, 2, 5, 23 (exponent form: 22, 51, 231)

22 × 32 × 51 × 231 = 4140

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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 460? (The answer is: 4140). Select the first number (e.g. '90') and the second number (e.g. '460'). 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

LCM Table

Number 1Number 2LCM
754606900
764608740
7746035420
7846017940
7946036340
804601840
8146037260
8246018860
8346038180
844609660
854607820
8646019780
8746040020
8846010120
8946040940
904604140
9146041860
92460460
9346042780
9446021620
954608740
9646011040
9746044620
9846022540
9946045540
1004602300
10146046460
10246023460
10346047380
10446011960

FAQ

What's the Least Common Multiple (LCM) of 90 and 460?

LCM of 90 and 460 is 4,140

How to find the LCM of 90 and 460 using prime factorization?

To find the LCM of 90 and 460, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,140.

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 460: LCM = 4,140, GCF = 10.

See Also