Least Common Multiple of 556/49, 312/6142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/49, 312/6142 quickly i.e. 43368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/49, 312/6142 is 43368.

LCM(556/49, 312/6142) = 43368

LCM of 556/49, 312/6142

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 556/49,312/6142

Given numbers are 556/49,312/6142

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 556,312

Least Common Multiple of Numerators i.e. LCM of 556,312 is 43368.

GCF of Denominators means GCF of 49,6142 as per the given fractions.

GCF of 49,6142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,312

LCM of Fractions 556/49,312/6142 is 43368

2 556, 312
2 278, 156
139, 78

∴ So the LCM of the given numbers is 2 x 2 x 139 x 78 = 43368

Least Common Multiple of 556,312 with GCF Formula

Least Common Multiple of 556,312 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 556,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,312) = 4

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

GCF(556,312) x common factors =4 x 1 = 4

LCM(556,312) = ( 556 × 312 ) / 4

LCM(556,312) = 173472 / 4

LCM(556,312) = 43368


Lets's calculate GCF of 49,6142

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43368/1

Therefore the LCM of Fractions 556/49,312/6142 is 43368

Greatest Common Factor of 49,6142 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,6142 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1,2,37,74,83,166,3071,6142

Greatest Common Factor

We found the factors 49,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 49,6142 is 1.


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 556/49, 312/6142

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 556/49, 312/6142?

Answer: LCM of Numerators as per given numbers 556/49, 312/6142 is

LCM of Numerators i.e. for 556,312 is 43368

GCF of denominators i.e. for 49,6142 is 1.

Thus, LCM of Fractions is 43368.Finally, LCM of Fractions for 556/49, 312/6142 is 43368.