LCM for 48 and 90

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What's the Least Common Multiple (LCM) of 48 and 90?

Answer

LCM of 48 and 90 is
720

(Seven hundred twenty)

Finding LCM for 48 and 90 using GCF of these numbers

The first method to find LCM for numbers 48 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 90 is 6, so

LCM = (48 × 90) ÷ 6

LCM = 4,320 ÷ 6

LCM = 720

Finding LCM for 48 and 90 by Listing Multiples

The second method to find LCM for numbers 48 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900

So the LCM for 48 and 90 is 720

Finding LCM for 48 and 90 by Prime Factorization

Another method to find LCM for numbers 48 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

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

24 × 32 × 51 = 720

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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 48 and 90? (The answer is: 720). Select the first number (e.g. '48') and the second number (e.g. '90'). 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
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LCM Table

Number 1Number 2LCM
481248
483296
4836144
48501,200
4852624
4854432
4856336
4857912
48581,392
4860240
4872144
48751,200
4880240
48811,296
4884336
4890720
489696
48991,584
481001,200
48120240
48128384

FAQ

What's the Least Common Multiple (LCM) of 48 and 90?

LCM of 48 and 90 is 720

How to find the LCM of 48 and 90 using prime factorization?

To find the LCM of 48 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 48 and 90: LCM = 720, GCF = 6.

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