Least Common Multiple of 8402/116, 3624/7952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8402/116, 3624/7952 quickly i.e. 3806106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8402/116, 3624/7952 is 3806106.

LCM(8402/116, 3624/7952) = 3806106

LCM of 8402/116, 3624/7952

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 8402/116,3624/7952

Given numbers are 8402/116,3624/7952

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 8402,3624

Least Common Multiple of Numerators i.e. LCM of 8402,3624 is 15224424.

GCF of Denominators means GCF of 116,7952 as per the given fractions.

GCF of 116,7952 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8402,3624

LCM of Fractions 8402/116,3624/7952 is 3806106

2 8402, 3624
4201, 1812

∴ So the LCM of the given numbers is 2 x 4201 x 1812 = 15224424

Least Common Multiple of 8402,3624 with GCF Formula

Least Common Multiple of 8402,3624 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 8402,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8402,3624) = 2

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

GCF(8402,3624) x common factors =2 x 1 = 2

LCM(8402,3624) = ( 8402 × 3624 ) / 2

LCM(8402,3624) = 30448848 / 2

LCM(8402,3624) = 15224424


Lets's calculate GCF of 116,7952

2 116, 7952
2 58, 3976
29, 1988

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15224424/4

Therefore the LCM of Fractions 8402/116,3624/7952 is 3806106

Greatest Common Factor of 116,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,7952 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 116,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 116,7952 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8402/116, 3624/7952

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 8402/116, 3624/7952?

Answer: LCM of Numerators as per given numbers 8402/116, 3624/7952 is

LCM of Numerators i.e. for 8402,3624 is 15224424

GCF of denominators i.e. for 116,7952 is 4.

Thus, LCM of Fractions is 3806106.Finally, LCM of Fractions for 8402/116, 3624/7952 is 3806106.