Least Common Multiple of 26/142, 507/778, 537/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/142, 507/778, 537/882 quickly i.e. 90753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/142, 507/778, 537/882 is 90753.

LCM(26/142, 507/778, 537/882) = 90753

LCM of 26/142, 507/778, 537/882

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 26/142,507/778,537/882

Given numbers are 26/142,507/778,537/882

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 26,507,537

Least Common Multiple of Numerators i.e. LCM of 26,507,537 is 181506.

GCF of Denominators means GCF of 142,778,882 as per the given fractions.

GCF of 142,778,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,507,537

LCM of Fractions 26/142,507/778,537/882 is 90753

3 26, 507, 537
13 26, 169, 179
2, 13, 179

∴ So the LCM of the given numbers is 3 x 13 x 2 x 13 x 179 = 181506

Least Common Multiple of 26,507,537 with GCF Formula

Least Common Multiple of 26,507,537 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 26,507,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,507,537) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(26,507,537) x common factors =1 x 39 = 39

LCM(26,507,537) = ( 26 × 507 × 537 ) / 39

LCM(26,507,537) = 7078734 / 39

LCM(26,507,537) = 181506


Lets's calculate GCF of 142,778,882

2 142, 778, 882
71, 389, 441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181506/2

Therefore the LCM of Fractions 26/142,507/778,537/882 is 90753

Greatest Common Factor of 142,778,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,778,882 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 142,778,882 . The biggest common factor number is the GCF number.
So the greatest common factor 142,778,882 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 26/142, 507/778, 537/882

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 26/142, 507/778, 537/882?

Answer: LCM of Numerators as per given numbers 26/142, 507/778, 537/882 is

LCM of Numerators i.e. for 26,507,537 is 181506

GCF of denominators i.e. for 142,778,882 is 2.

Thus, LCM of Fractions is 90753.Finally, LCM of Fractions for 26/142, 507/778, 537/882 is 90753.