Least Common Multiple of 78/426, 6164/1930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/426, 6164/1930 quickly i.e. 120198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/426, 6164/1930 is 120198.

LCM(78/426, 6164/1930) = 120198

LCM of 78/426, 6164/1930

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 78/426,6164/1930

Given numbers are 78/426,6164/1930

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 78,6164

Least Common Multiple of Numerators i.e. LCM of 78,6164 is 240396.

GCF of Denominators means GCF of 426,1930 as per the given fractions.

GCF of 426,1930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,6164

LCM of Fractions 78/426,6164/1930 is 120198

2 78, 6164
39, 3082

∴ So the LCM of the given numbers is 2 x 39 x 3082 = 240396

Least Common Multiple of 78,6164 with GCF Formula

Least Common Multiple of 78,6164 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 78,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,6164) = 2

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

GCF(78,6164) x common factors =2 x 1 = 2

LCM(78,6164) = ( 78 × 6164 ) / 2

LCM(78,6164) = 480792 / 2

LCM(78,6164) = 240396


Lets's calculate GCF of 426,1930

2 426, 1930
213, 965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240396/2

Therefore the LCM of Fractions 78/426,6164/1930 is 120198

Greatest Common Factor of 426,1930 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,1930 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1,2,5,10,193,386,965,1930

Greatest Common Factor

We found the factors 426,1930 . The biggest common factor number is the GCF number.
So the greatest common factor 426,1930 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 78/426, 6164/1930

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 78/426, 6164/1930?

Answer: LCM of Numerators as per given numbers 78/426, 6164/1930 is

LCM of Numerators i.e. for 78,6164 is 240396

GCF of denominators i.e. for 426,1930 is 2.

Thus, LCM of Fractions is 120198.Finally, LCM of Fractions for 78/426, 6164/1930 is 120198.