Least Common Multiple of 759/31, 139/14, 526/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/31, 139/14, 526/835 quickly i.e. 55493526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/31, 139/14, 526/835 is 55493526.

LCM(759/31, 139/14, 526/835) = 55493526

LCM of 759/31, 139/14, 526/835

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 759/31,139/14,526/835

Given numbers are 759/31,139/14,526/835

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 759,139,526

Least Common Multiple of Numerators i.e. LCM of 759,139,526 is 55493526.

GCF of Denominators means GCF of 31,14,835 as per the given fractions.

GCF of 31,14,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,139,526

LCM of Fractions 759/31,139/14,526/835 is 55493526

Given numbers has no common factors except 1. So, there LCM is their product i.e 55493526

Least Common Multiple of 759,139,526 with GCF Formula

Least Common Multiple of 759,139,526 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 759,139,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,139,526) = 1

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

GCF(759,139,526) x common factors =1 x 1 = 1

LCM(759,139,526) = ( 759 × 139 × 526 ) / 1

LCM(759,139,526) = 55493526 / 1

LCM(759,139,526) = 55493526


Lets's calculate GCF of 31,14,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55493526/1

Therefore the LCM of Fractions 759/31,139/14,526/835 is 55493526

Greatest Common Factor of 31,14,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,14,835 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 31,14,835 . The biggest common factor number is the GCF number.
So the greatest common factor 31,14,835 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 759/31, 139/14, 526/835

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 759/31, 139/14, 526/835?

Answer: LCM of Numerators as per given numbers 759/31, 139/14, 526/835 is

LCM of Numerators i.e. for 759,139,526 is 55493526

GCF of denominators i.e. for 31,14,835 is 1.

Thus, LCM of Fractions is 55493526.Finally, LCM of Fractions for 759/31, 139/14, 526/835 is 55493526.