Least Common Multiple of 102/78, 352/8634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/78, 352/8634 quickly i.e. 2992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/78, 352/8634 is 2992.

LCM(102/78, 352/8634) = 2992

LCM of 102/78, 352/8634

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 102/78,352/8634

Given numbers are 102/78,352/8634

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 102,352

Least Common Multiple of Numerators i.e. LCM of 102,352 is 17952.

GCF of Denominators means GCF of 78,8634 as per the given fractions.

GCF of 78,8634 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,352

LCM of Fractions 102/78,352/8634 is 2992

2 102, 352
51, 176

∴ So the LCM of the given numbers is 2 x 51 x 176 = 17952

Least Common Multiple of 102,352 with GCF Formula

Least Common Multiple of 102,352 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 102,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,352) = 2

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

GCF(102,352) x common factors =2 x 1 = 2

LCM(102,352) = ( 102 × 352 ) / 2

LCM(102,352) = 35904 / 2

LCM(102,352) = 17952


Lets's calculate GCF of 78,8634

2 78, 8634
3 39, 4317
13, 1439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17952/6

Therefore the LCM of Fractions 102/78,352/8634 is 2992

Greatest Common Factor of 78,8634 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,8634 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1,2,3,6,1439,2878,4317,8634

Greatest Common Factor

We found the factors 78,8634 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8634 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 102/78, 352/8634

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 102/78, 352/8634?

Answer: LCM of Numerators as per given numbers 102/78, 352/8634 is

LCM of Numerators i.e. for 102,352 is 17952

GCF of denominators i.e. for 78,8634 is 6.

Thus, LCM of Fractions is 2992.Finally, LCM of Fractions for 102/78, 352/8634 is 2992.