Least Common Multiple of 49, 54, 54, 720

Q: How to Find the LCM of 49, 54, 54, 720 ?

Least Common Multiple of 49, 54, 54, 720 = 105840 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(49, 54, 54, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.

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 49, 54, 54, 720 i.e. 105840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 49, 54, 54, 720 is 105840.

LCM(49, 54, 54, 720) = 105840

LCM of 49, 54, 54, 720

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

Least Common Multiple of 49, 54, 54, 720 by common division method
Least Common Multiple of 49, 54, 54, 720 with GCF Formula

Least Common Multiple of 49,54,54,720

Least Common Multiple (LCM) of 49,54,54,720 is 105840

2	49, 54, 54, 720
3	49, 27, 27, 360
3	49, 9, 9, 120
3	49, 3, 3, 40
	49, 1, 1, 40

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 49 x 1 x 1 x 40 = 105840

Least Common Multiple of 49,54,54,720 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 49,54,54,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,54,54,720) = 1

common factors(in case of two or more numbers have common factors) = 972

GCF(49,54,54,720) x common factors =1 x 972 = 972

LCM(49,54,54,720) = ( 49 × 54 × 54 × 720 ) / 972

LCM(49,54,54,720) = 102876480 / 972

LCM(49,54,54,720) = 105840

∴ Least Common Multiple of 49,54,54,720 is 105840

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 49, 54, 54, 720

1. What is the LCM of 49, 54, 54, 720?

Answer: LCM of 49, 54, 54, 720 is 105840.

2. What are the Factors of 105840?

Answer: Factors of 105840 are . There are integers that are factors of 105840

3. How to Find the LCM of 49, 54, 54, 720 ?

Least Common Multiple of 49, 54, 54, 720.

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(49, 54, 54, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.