Least Common Multiple of 26/84, 56/912, 772/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/84, 56/912, 772/859 quickly i.e. 140504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/84, 56/912, 772/859 is 140504.

LCM(26/84, 56/912, 772/859) = 140504

LCM of 26/84, 56/912, 772/859

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 26/84,56/912,772/859

Given numbers are 26/84,56/912,772/859

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 26,56,772

Least Common Multiple of Numerators i.e. LCM of 26,56,772 is 140504.

GCF of Denominators means GCF of 84,912,859 as per the given fractions.

GCF of 84,912,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,56,772

LCM of Fractions 26/84,56/912,772/859 is 140504

2 26, 56, 772
2 13, 28, 386
13, 14, 193

∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 193 = 140504

Least Common Multiple of 26,56,772 with GCF Formula

Least Common Multiple of 26,56,772 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 26,56,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,56,772) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(26,56,772) x common factors =2 x 4 = 8

LCM(26,56,772) = ( 26 × 56 × 772 ) / 8

LCM(26,56,772) = 1124032 / 8

LCM(26,56,772) = 140504


Lets's calculate GCF of 84,912,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140504/1

Therefore the LCM of Fractions 26/84,56/912,772/859 is 140504

Greatest Common Factor of 84,912,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,912,859 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 84,912,859 . The biggest common factor number is the GCF number.
So the greatest common factor 84,912,859 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 26/84, 56/912, 772/859

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 26/84, 56/912, 772/859?

Answer: LCM of Numerators as per given numbers 26/84, 56/912, 772/859 is

LCM of Numerators i.e. for 26,56,772 is 140504

GCF of denominators i.e. for 84,912,859 is 1.

Thus, LCM of Fractions is 140504.Finally, LCM of Fractions for 26/84, 56/912, 772/859 is 140504.