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LCM for 60 and 495

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 495?

Answer

LCM of 60 and 495 is 1,980

(One thousand, nine hundred eighty)

Finding LCM for 60 and 495 using GCF of these numbers

The first method to find LCM for numbers 60 and 495 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 495 is 15, so

LCM = (60 × 495) ÷ 15

LCM = 29700 ÷ 15

LCM = 1980

Finding LCM for 60 and 495 by Listing Multiples

The second method to find LCM for numbers 60 and 495 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100

Multiples of 495: 495, 990, 1485, 1980, 2475, 2970

So the LCM for 60 and 495 is 1980

Finding LCM for 60 and 495 by Prime Factorization

Another method to find LCM for numbers 60 and 495 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 495: 3, 3, 5, 11 (exponent form: 32, 51, 111)

22 × 32 × 51 × 111 = 1980

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What is the LCM of 60 and 495?. Find the LCM of 60 and 495 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
45495495
4649522770
4749523265
484957920
4949524255
504954950
514958415
5249525740
5349526235
544952970
55495495
5649527720
574959405
5849528710
5949529205
604951980
6149530195
6249530690
634953465
6449531680
654956435
66495990
6749533165
6849533660
6949511385
704956930
7149535145
724953960
7349536135
7449536630

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 60 and 495? (The answer is: 1980). Select the first number (e.g. '60') and the second number (e.g. '495'). 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 60 and 495?

LCM of 60 and 495 is 1,980

How to find the LCM of 60 and 495 using prime factorization?

To find the LCM of 60 and 495, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

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 60 and 495: LCM = 1,980, GCF = 15.