Least Common Multiple of 78, 19, 754

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 78, 19, 754 i.e. 42978 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 19, 754 is 42978.

LCM(78, 19, 754) = 42978

LCM of 78, 19, 754

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

LCM of:

Least Common Multiple of 78,19,754

Least Common Multiple (LCM) of 78,19,754 is 42978

2 78, 19, 754
13 39, 19, 377
3, 19, 29

∴ So the LCM of the given numbers is 2 x 13 x 3 x 19 x 29 = 42978

Least Common Multiple of 78,19,754 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,19,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,19,754) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(78,19,754) x common factors =1 x 26 = 26

LCM(78,19,754) = ( 78 × 19 × 754 ) / 26

LCM(78,19,754) = 1117428 / 26

LCM(78,19,754) = 42978

∴ Least Common Multiple of 78,19,754 is 42978

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 78, 19, 754

1. What is the LCM of 78, 19, 754?

Answer: LCM of 78, 19, 754 is 42978.

2. What are the Factors of 42978?

Answer: Factors of 42978 are . There are integers that are factors of 42978

3. How to Find the LCM of 78, 19, 754 ?

Least Common Multiple of 78, 19, 754.

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(78, 19, 754) = 2 x 3 x 13 x 19 x 29 = 42978.