Least Common Multiple of 42, 68, 56, 514

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 42, 68, 56, 514 i.e. 733992 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 68, 56, 514 is 733992.

LCM(42, 68, 56, 514) = 733992

LCM of 42, 68, 56, 514

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

LCM of:

Least Common Multiple of 42,68,56,514

Least Common Multiple (LCM) of 42,68,56,514 is 733992

2 42, 68, 56, 514
2 21, 34, 28, 257
7 21, 17, 14, 257
3, 17, 2, 257

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 17 x 2 x 257 = 733992

Least Common Multiple of 42,68,56,514 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 42,68,56,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,68,56,514) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(42,68,56,514) x common factors =2 x 56 = 112

LCM(42,68,56,514) = ( 42 × 68 × 56 × 514 ) / 112

LCM(42,68,56,514) = 82207104 / 112

LCM(42,68,56,514) = 733992

∴ Least Common Multiple of 42,68,56,514 is 733992

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 42, 68, 56, 514

1. What is the LCM of 42, 68, 56, 514?

Answer: LCM of 42, 68, 56, 514 is 733992.

2. What are the Factors of 733992?

Answer: Factors of 733992 are . There are integers that are factors of 733992

3. How to Find the LCM of 42, 68, 56, 514 ?

Least Common Multiple of 42, 68, 56, 514.

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(42, 68, 56, 514) = 2 x 2 x 2 x 3 x 7 x 17 x 257 = 733992.