Least Common Multiple of 546/42, 256/7002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/42, 256/7002 quickly i.e. 11648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/42, 256/7002 is 11648.

LCM(546/42, 256/7002) = 11648

LCM of 546/42, 256/7002

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 546/42,256/7002

Given numbers are 546/42,256/7002

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 546,256

Least Common Multiple of Numerators i.e. LCM of 546,256 is 69888.

GCF of Denominators means GCF of 42,7002 as per the given fractions.

GCF of 42,7002 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,256

LCM of Fractions 546/42,256/7002 is 11648

2 546, 256
273, 128

∴ So the LCM of the given numbers is 2 x 273 x 128 = 69888

Least Common Multiple of 546,256 with GCF Formula

Least Common Multiple of 546,256 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 546,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,256) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(546,256) x common factors =2 x 1 = 2

LCM(546,256) = ( 546 × 256 ) / 2

LCM(546,256) = 139776 / 2

LCM(546,256) = 69888


Lets's calculate GCF of 42,7002

2 42, 7002
3 21, 3501
7, 1167

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69888/6

Therefore the LCM of Fractions 546/42,256/7002 is 11648

Greatest Common Factor of 42,7002 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7002 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7002

List of positive integer factors of 7002 that divides 7002 without a remainder.

1,2,3,6,9,18,389,778,1167,2334,3501,7002

Greatest Common Factor

We found the factors 42,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7002 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 546/42, 256/7002

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 546/42, 256/7002?

Answer: LCM of Numerators as per given numbers 546/42, 256/7002 is

LCM of Numerators i.e. for 546,256 is 69888

GCF of denominators i.e. for 42,7002 is 6.

Thus, LCM of Fractions is 11648.Finally, LCM of Fractions for 546/42, 256/7002 is 11648.