Least Common Multiple of 945, 9860, 748

Q: How to Find the LCM of 945, 9860, 748 ?

Least Common Multiple of 945, 9860, 748 = 20498940 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(945, 9860, 748) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 17 x 29 = 20498940.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 945, 9860, 748 i.e. 20498940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 945, 9860, 748 is 20498940.

LCM(945, 9860, 748) = 20498940

LCM of 945, 9860, 748

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 945, 9860, 748 by common division method
Least Common Multiple of 945, 9860, 748 with GCF Formula

Least Common Multiple of 945,9860,748

Least Common Multiple (LCM) of 945,9860,748 is 20498940

2	945, 9860, 748
2	945, 4930, 374
5	945, 2465, 187
17	189, 493, 187
	189, 29, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 189 x 29 x 11 = 20498940

Least Common Multiple of 945,9860,748 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 945,9860,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,9860,748) = 1

common factors(in case of two or more numbers have common factors) = 340

GCF(945,9860,748) x common factors =1 x 340 = 340

LCM(945,9860,748) = ( 945 × 9860 × 748 ) / 340

LCM(945,9860,748) = 6969639600 / 340

LCM(945,9860,748) = 20498940

∴ Least Common Multiple of 945,9860,748 is 20498940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 945, 9860, 748

1. What is the LCM of 945, 9860, 748?

Answer: LCM of 945, 9860, 748 is 20498940.

2. What are the Factors of 20498940?

Answer: Factors of 20498940 are . There are integers that are factors of 20498940

3. How to Find the LCM of 945, 9860, 748 ?

Least Common Multiple of 945, 9860, 748.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(945, 9860, 748) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 17 x 29 = 20498940.