LCM for 90 and 150

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 150?

Answer

LCM of 90 and 150 is 450

(Four hundred fifty)

Finding LCM for 90 and 150 using GCF of these numbers

The first method to find LCM for numbers 90 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 150 is 30, so

LCM = (90 × 150) ÷ 30

LCM = 13500 ÷ 30

LCM = 450

Finding LCM for 90 and 150 by Listing Multiples

The second method to find LCM for numbers 90 and 150 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

Multiples of 150: 150, 300, 450, 600, 750

So the LCM for 90 and 150 is 450

Finding LCM for 90 and 150 by Prime Factorization

Another method to find LCM for numbers 90 and 150 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 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

21 × 32 × 52 = 450

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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 150? (The answer is: 450). Select the first number (e.g. '90') and the second number (e.g. '150'). 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
75150150
761505700
7715011550
781501950
7915011850
801501200
811504050
821506150
8315012450
841502100
851502550
861506450
871504350
881506600
8915013350
90150450
9115013650
921506900
931504650
941507050
951502850
961502400
9715014550
981507350
991504950
100150300
10115015150
1021502550
10315015450
1041507800

FAQ

What's the Least Common Multiple (LCM) of 90 and 150?

LCM of 90 and 150 is 450

How to find the LCM of 90 and 150 using prime factorization?

To find the LCM of 90 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

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 150: LCM = 450, GCF = 30.

See Also