Least Common Multiple of 52/308, 4146/4974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/308, 4146/4974 quickly i.e. 53898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/308, 4146/4974 is 53898.

LCM(52/308, 4146/4974) = 53898

LCM of 52/308, 4146/4974

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 52/308,4146/4974

Given numbers are 52/308,4146/4974

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 52,4146

Least Common Multiple of Numerators i.e. LCM of 52,4146 is 107796.

GCF of Denominators means GCF of 308,4974 as per the given fractions.

GCF of 308,4974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,4146

LCM of Fractions 52/308,4146/4974 is 53898

2 52, 4146
26, 2073

∴ So the LCM of the given numbers is 2 x 26 x 2073 = 107796

Least Common Multiple of 52,4146 with GCF Formula

Least Common Multiple of 52,4146 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 52,4146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,4146) = 2

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

GCF(52,4146) x common factors =2 x 1 = 2

LCM(52,4146) = ( 52 × 4146 ) / 2

LCM(52,4146) = 215592 / 2

LCM(52,4146) = 107796


Lets's calculate GCF of 308,4974

2 308, 4974
154, 2487

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107796/2

Therefore the LCM of Fractions 52/308,4146/4974 is 53898

Greatest Common Factor of 308,4974 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,4974 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1,2,3,6,829,1658,2487,4974

Greatest Common Factor

We found the factors 308,4974 . The biggest common factor number is the GCF number.
So the greatest common factor 308,4974 is 2.


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 52/308, 4146/4974

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 52/308, 4146/4974?

Answer: LCM of Numerators as per given numbers 52/308, 4146/4974 is

LCM of Numerators i.e. for 52,4146 is 107796

GCF of denominators i.e. for 308,4974 is 2.

Thus, LCM of Fractions is 53898.Finally, LCM of Fractions for 52/308, 4146/4974 is 53898.