Least Common Multiple of 3956/76, 8412/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3956/76, 8412/254 quickly i.e. 4159734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3956/76, 8412/254 is 4159734.

LCM(3956/76, 8412/254) = 4159734

LCM of 3956/76, 8412/254

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 3956/76,8412/254

Given numbers are 3956/76,8412/254

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 3956,8412

Least Common Multiple of Numerators i.e. LCM of 3956,8412 is 8319468.

GCF of Denominators means GCF of 76,254 as per the given fractions.

GCF of 76,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3956,8412

LCM of Fractions 3956/76,8412/254 is 4159734

2 3956, 8412
2 1978, 4206
989, 2103

∴ So the LCM of the given numbers is 2 x 2 x 989 x 2103 = 8319468

Least Common Multiple of 3956,8412 with GCF Formula

Least Common Multiple of 3956,8412 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 3956,8412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3956,8412) = 4

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

GCF(3956,8412) x common factors =4 x 1 = 4

LCM(3956,8412) = ( 3956 × 8412 ) / 4

LCM(3956,8412) = 33277872 / 4

LCM(3956,8412) = 8319468


Lets's calculate GCF of 76,254

2 76, 254
38, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8319468/2

Therefore the LCM of Fractions 3956/76,8412/254 is 4159734

Greatest Common Factor of 76,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,254 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 76,254 . The biggest common factor number is the GCF number.
So the greatest common factor 76,254 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 3956/76, 8412/254

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 3956/76, 8412/254?

Answer: LCM of Numerators as per given numbers 3956/76, 8412/254 is

LCM of Numerators i.e. for 3956,8412 is 8319468

GCF of denominators i.e. for 76,254 is 2.

Thus, LCM of Fractions is 4159734.Finally, LCM of Fractions for 3956/76, 8412/254 is 4159734.