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LCM for 90 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 360?

Answer

LCM of 90 and 360 is 360

(Three hundred sixty)

Finding LCM for 90 and 360 using GCF of these numbers

The first method to find LCM for numbers 90 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 360 is 90, so

LCM = (90 × 360) ÷ 90

LCM = 32400 ÷ 90

LCM = 360

Finding LCM for 90 and 360 by Listing Multiples

The second method to find LCM for numbers 90 and 360 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

Multiples of 360: 360, 720, 1080

So the LCM for 90 and 360 is 360

Finding LCM for 90 and 360 by Prime Factorization

Another method to find LCM for numbers 90 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 51 = 360

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What is the LCM of 90 and 360?. Find the LCM of 90 and 360 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
753601800
763606840
7736027720
783604680
7936028440
80360720
813603240
8236014760
8336029880
843602520
853606120
8636015480
8736010440
883603960
8936032040
90360360
9136032760
923608280
9336011160
9436016920
953606840
963601440
9736034920
9836017640
993603960
1003601800
10136036360
1023606120
10336037080
1043604680

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 360? (The answer is: 360). Select the first number (e.g. '90') and the second number (e.g. '360'). 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 360?

LCM of 90 and 360 is 360

How to find the LCM of 90 and 360 using prime factorization?

To find the LCM of 90 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 360: LCM = 360, GCF = 90.

See Also