Least Common Multiple of 54, 90, 60, 76, 338

Q: How to Find the LCM of 54, 90, 60, 76, 338 ?

Least Common Multiple of 54, 90, 60, 76, 338 = 1733940 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(54, 90, 60, 76, 338) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 13 x 19 = 1733940.

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 54, 90, 60, 76, 338 i.e. 1733940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 90, 60, 76, 338 is 1733940.

LCM(54, 90, 60, 76, 338) = 1733940

LCM of 54, 90, 60, 76, 338

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

Least Common Multiple of 54, 90, 60, 76, 338 by common division method
Least Common Multiple of 54, 90, 60, 76, 338 with GCF Formula

Least Common Multiple of 54,90,60,76,338

Least Common Multiple (LCM) of 54,90,60,76,338 is 1733940

2	54, 90, 60, 76, 338
2	27, 45, 30, 38, 169
3	27, 45, 15, 19, 169
3	9, 5, 15, 19, 169
5	3, 5, 5, 19, 169
	3, 1, 1, 19, 169

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 3 x 1 x 1 x 19 x 169 = 1733940

Least Common Multiple of 54,90,60,76,338 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 54,90,60,76,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,90,60,76,338) = 2

common factors(in case of two or more numbers have common factors) = 2160

GCF(54,90,60,76,338) x common factors =2 x 2160 = 4320

LCM(54,90,60,76,338) = ( 54 × 90 × 60 × 76 × 338 ) / 4320

LCM(54,90,60,76,338) = 7490620800 / 4320

LCM(54,90,60,76,338) = 1733940

∴ Least Common Multiple of 54,90,60,76,338 is 1733940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 90, 60, 76, 338

1. What is the LCM of 54, 90, 60, 76, 338?

Answer: LCM of 54, 90, 60, 76, 338 is 1733940.

2. What are the Factors of 1733940?

Answer: Factors of 1733940 are . There are integers that are factors of 1733940

3. How to Find the LCM of 54, 90, 60, 76, 338 ?

Least Common Multiple of 54, 90, 60, 76, 338.

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(54, 90, 60, 76, 338) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 13 x 19 = 1733940.