Least Common Multiple of 78/55, 865/74, 692/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/55, 865/74, 692/942 quickly i.e. 134940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/55, 865/74, 692/942 is 134940.

LCM(78/55, 865/74, 692/942) = 134940

LCM of 78/55, 865/74, 692/942

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 78/55,865/74,692/942

Given numbers are 78/55,865/74,692/942

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 78,865,692

Least Common Multiple of Numerators i.e. LCM of 78,865,692 is 134940.

GCF of Denominators means GCF of 55,74,942 as per the given fractions.

GCF of 55,74,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,865,692

LCM of Fractions 78/55,865/74,692/942 is 134940

2 78, 865, 692
173 39, 865, 346
39, 5, 2

∴ So the LCM of the given numbers is 2 x 173 x 39 x 5 x 2 = 134940

Least Common Multiple of 78,865,692 with GCF Formula

Least Common Multiple of 78,865,692 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 78,865,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,865,692) = 1

common factors(in case of two or more numbers have common factors) = 346

GCF(78,865,692) x common factors =1 x 346 = 346

LCM(78,865,692) = ( 78 × 865 × 692 ) / 346

LCM(78,865,692) = 46689240 / 346

LCM(78,865,692) = 134940


Lets's calculate GCF of 55,74,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134940/1

Therefore the LCM of Fractions 78/55,865/74,692/942 is 134940

Greatest Common Factor of 55,74,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,74,942 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 55,74,942 . The biggest common factor number is the GCF number.
So the greatest common factor 55,74,942 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 78/55, 865/74, 692/942

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 78/55, 865/74, 692/942?

Answer: LCM of Numerators as per given numbers 78/55, 865/74, 692/942 is

LCM of Numerators i.e. for 78,865,692 is 134940

GCF of denominators i.e. for 55,74,942 is 1.

Thus, LCM of Fractions is 134940.Finally, LCM of Fractions for 78/55, 865/74, 692/942 is 134940.