Least Common Multiple of 29/278, 34/709, 379/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/278, 34/709, 379/529 quickly i.e. 373694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/278, 34/709, 379/529 is 373694.

LCM(29/278, 34/709, 379/529) = 373694

LCM of 29/278, 34/709, 379/529

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 29/278,34/709,379/529

Given numbers are 29/278,34/709,379/529

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 29,34,379

Least Common Multiple of Numerators i.e. LCM of 29,34,379 is 373694.

GCF of Denominators means GCF of 278,709,529 as per the given fractions.

GCF of 278,709,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,34,379

LCM of Fractions 29/278,34/709,379/529 is 373694

Given numbers has no common factors except 1. So, there LCM is their product i.e 373694

Least Common Multiple of 29,34,379 with GCF Formula

Least Common Multiple of 29,34,379 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 29,34,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,34,379) = 1

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

GCF(29,34,379) x common factors =1 x 1 = 1

LCM(29,34,379) = ( 29 × 34 × 379 ) / 1

LCM(29,34,379) = 373694 / 1

LCM(29,34,379) = 373694


Lets's calculate GCF of 278,709,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373694/1

Therefore the LCM of Fractions 29/278,34/709,379/529 is 373694

Greatest Common Factor of 278,709,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,709,529 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 278,709,529 . The biggest common factor number is the GCF number.
So the greatest common factor 278,709,529 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 29/278, 34/709, 379/529

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 29/278, 34/709, 379/529?

Answer: LCM of Numerators as per given numbers 29/278, 34/709, 379/529 is

LCM of Numerators i.e. for 29,34,379 is 373694

GCF of denominators i.e. for 278,709,529 is 1.

Thus, LCM of Fractions is 373694.Finally, LCM of Fractions for 29/278, 34/709, 379/529 is 373694.