Least Common Multiple of 16, 42, 56, 978

Q: How to Find the LCM of 16, 42, 56, 978 ?

Least Common Multiple of 16, 42, 56, 978 = 54768 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(16, 42, 56, 978) = 2 x 2 x 2 x 2 x 3 x 7 x 163 = 54768.

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 16, 42, 56, 978 i.e. 54768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 42, 56, 978 is 54768.

LCM(16, 42, 56, 978) = 54768

LCM of 16, 42, 56, 978

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

Least Common Multiple of 16, 42, 56, 978 by common division method
Least Common Multiple of 16, 42, 56, 978 with GCF Formula

Least Common Multiple of 16,42,56,978

Least Common Multiple (LCM) of 16,42,56,978 is 54768

2	16, 42, 56, 978
2	8, 21, 28, 489
2	4, 21, 14, 489
3	2, 21, 7, 489
7	2, 7, 7, 163
	2, 1, 1, 163

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 2 x 1 x 1 x 163 = 54768

Least Common Multiple of 16,42,56,978 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 16,42,56,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,42,56,978) = 2

common factors(in case of two or more numbers have common factors) = 336

GCF(16,42,56,978) x common factors =2 x 336 = 672

LCM(16,42,56,978) = ( 16 × 42 × 56 × 978 ) / 672

LCM(16,42,56,978) = 36804096 / 672

LCM(16,42,56,978) = 54768

∴ Least Common Multiple of 16,42,56,978 is 54768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 16, 42, 56, 978

1. What is the LCM of 16, 42, 56, 978?

Answer: LCM of 16, 42, 56, 978 is 54768.

2. What are the Factors of 54768?

Answer: Factors of 54768 are . There are integers that are factors of 54768

3. How to Find the LCM of 16, 42, 56, 978 ?

Least Common Multiple of 16, 42, 56, 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(16, 42, 56, 978) = 2 x 2 x 2 x 2 x 3 x 7 x 163 = 54768.