Least Common Multiple of 78/55, 78/52, 70/97, 83/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/55, 78/52, 70/97, 83/342 quickly i.e. 226590 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, 78/52, 70/97, 83/342 is 226590.

LCM(78/55, 78/52, 70/97, 83/342) = 226590

LCM of 78/55, 78/52, 70/97, 83/342

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 78/55,78/52,70/97,83/342

Given numbers are 78/55,78/52,70/97,83/342

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 78,78,70,83

Least Common Multiple of Numerators i.e. LCM of 78,78,70,83 is 226590.

GCF of Denominators means GCF of 55,52,97,342 as per the given fractions.

GCF of 55,52,97,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,78,70,83

LCM of Fractions 78/55,78/52,70/97,83/342 is 226590

2 78, 78, 70, 83
3 39, 39, 35, 83
13 13, 13, 35, 83
1, 1, 35, 83

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 35 x 83 = 226590

Least Common Multiple of 78,78,70,83 with GCF Formula

Least Common Multiple of 78,78,70,83 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 78,78,70,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,78,70,83) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(78,78,70,83) x common factors =1 x 156 = 156

LCM(78,78,70,83) = ( 78 × 78 × 70 × 83 ) / 156

LCM(78,78,70,83) = 35348040 / 156

LCM(78,78,70,83) = 226590


Lets's calculate GCF of 55,52,97,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226590/1

Therefore the LCM of Fractions 78/55,78/52,70/97,83/342 is 226590

Greatest Common Factor of 55,52,97,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,52,97,342 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 55,52,97,342 . The biggest common factor number is the GCF number.
So the greatest common factor 55,52,97,342 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, 78/52, 70/97, 83/342

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, 78/52, 70/97, 83/342?

Answer: LCM of Numerators as per given numbers 78/55, 78/52, 70/97, 83/342 is

LCM of Numerators i.e. for 78,78,70,83 is 226590

GCF of denominators i.e. for 55,52,97,342 is 1.

Thus, LCM of Fractions is 226590.Finally, LCM of Fractions for 78/55, 78/52, 70/97, 83/342 is 226590.