Least Common Multiple of 76, 72, 24, 57, 978

Q: How to Find the LCM of 76, 72, 24, 57, 978 ?

Least Common Multiple of 76, 72, 24, 57, 978 = 222984 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(76, 72, 24, 57, 978) = 2 x 2 x 2 x 3 x 3 x 19 x 163 = 222984.

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 76, 72, 24, 57, 978 i.e. 222984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 72, 24, 57, 978 is 222984.

LCM(76, 72, 24, 57, 978) = 222984

LCM of 76, 72, 24, 57, 978

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

Least Common Multiple of 76, 72, 24, 57, 978 by common division method
Least Common Multiple of 76, 72, 24, 57, 978 with GCF Formula

Least Common Multiple of 76,72,24,57,978

Least Common Multiple (LCM) of 76,72,24,57,978 is 222984

2	76, 72, 24, 57, 978
2	38, 36, 12, 57, 489
2	19, 18, 6, 57, 489
3	19, 9, 3, 57, 489
19	19, 1, 3, 19, 163
	1, 1, 3, 1, 163

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 1 x 1 x 3 x 1 x 163 = 222984

Least Common Multiple of 76,72,24,57,978 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 76,72,24,57,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,72,24,57,978) = 1

common factors(in case of two or more numbers have common factors) = 32832

GCF(76,72,24,57,978) x common factors =1 x 32832 = 32832

LCM(76,72,24,57,978) = ( 76 × 72 × 24 × 57 × 978 ) / 32832

LCM(76,72,24,57,978) = 7321010688 / 32832

LCM(76,72,24,57,978) = 222984

∴ Least Common Multiple of 76,72,24,57,978 is 222984

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 76, 72, 24, 57, 978

1. What is the LCM of 76, 72, 24, 57, 978?

Answer: LCM of 76, 72, 24, 57, 978 is 222984.

2. What are the Factors of 222984?

Answer: Factors of 222984 are . There are integers that are factors of 222984

3. How to Find the LCM of 76, 72, 24, 57, 978 ?

Least Common Multiple of 76, 72, 24, 57, 978.

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(76, 72, 24, 57, 978) = 2 x 2 x 2 x 3 x 3 x 19 x 163 = 222984.