Least Common Multiple of 54, 48, 42, 96, 782

Q: How to Find the LCM of 54, 48, 42, 96, 782 ?

Least Common Multiple of 54, 48, 42, 96, 782 = 2364768 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, 48, 42, 96, 782) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 23 = 2364768.

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, 48, 42, 96, 782 i.e. 2364768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 48, 42, 96, 782 is 2364768.

LCM(54, 48, 42, 96, 782) = 2364768

LCM of 54, 48, 42, 96, 782

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

Least Common Multiple of 54, 48, 42, 96, 782 by common division method
Least Common Multiple of 54, 48, 42, 96, 782 with GCF Formula

Least Common Multiple of 54,48,42,96,782

Least Common Multiple (LCM) of 54,48,42,96,782 is 2364768

2	54, 48, 42, 96, 782
2	27, 24, 21, 48, 391
2	27, 12, 21, 24, 391
2	27, 6, 21, 12, 391
3	27, 3, 21, 6, 391
	9, 1, 7, 2, 391

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 9 x 1 x 7 x 2 x 391 = 2364768

Least Common Multiple of 54,48,42,96,782 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 54,48,42,96,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,48,42,96,782) = 2

common factors(in case of two or more numbers have common factors) = 1728

GCF(54,48,42,96,782) x common factors =2 x 1728 = 3456

LCM(54,48,42,96,782) = ( 54 × 48 × 42 × 96 × 782 ) / 3456

LCM(54,48,42,96,782) = 8172638208 / 3456

LCM(54,48,42,96,782) = 2364768

∴ Least Common Multiple of 54,48,42,96,782 is 2364768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 48, 42, 96, 782

1. What is the LCM of 54, 48, 42, 96, 782?

Answer: LCM of 54, 48, 42, 96, 782 is 2364768.

2. What are the Factors of 2364768?

Answer: Factors of 2364768 are . There are integers that are factors of 2364768

3. How to Find the LCM of 54, 48, 42, 96, 782 ?

Least Common Multiple of 54, 48, 42, 96, 782.

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, 48, 42, 96, 782) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 23 = 2364768.