Least Common Multiple of 426/29, 251/78, 839/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/29, 251/78, 839/698 quickly i.e. 89710914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/29, 251/78, 839/698 is 89710914.

LCM(426/29, 251/78, 839/698) = 89710914

LCM of 426/29, 251/78, 839/698

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 426/29,251/78,839/698

Given numbers are 426/29,251/78,839/698

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 426,251,839

Least Common Multiple of Numerators i.e. LCM of 426,251,839 is 89710914.

GCF of Denominators means GCF of 29,78,698 as per the given fractions.

GCF of 29,78,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,251,839

LCM of Fractions 426/29,251/78,839/698 is 89710914

Given numbers has no common factors except 1. So, there LCM is their product i.e 89710914

Least Common Multiple of 426,251,839 with GCF Formula

Least Common Multiple of 426,251,839 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 426,251,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,251,839) = 1

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

GCF(426,251,839) x common factors =1 x 1 = 1

LCM(426,251,839) = ( 426 × 251 × 839 ) / 1

LCM(426,251,839) = 89710914 / 1

LCM(426,251,839) = 89710914


Lets's calculate GCF of 29,78,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89710914/1

Therefore the LCM of Fractions 426/29,251/78,839/698 is 89710914

Greatest Common Factor of 29,78,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,78,698 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 29,78,698 . The biggest common factor number is the GCF number.
So the greatest common factor 29,78,698 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 426/29, 251/78, 839/698

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 426/29, 251/78, 839/698?

Answer: LCM of Numerators as per given numbers 426/29, 251/78, 839/698 is

LCM of Numerators i.e. for 426,251,839 is 89710914

GCF of denominators i.e. for 29,78,698 is 1.

Thus, LCM of Fractions is 89710914.Finally, LCM of Fractions for 426/29, 251/78, 839/698 is 89710914.