Least Common Multiple of 26/940, 76/782, 588/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/940, 76/782, 588/206 quickly i.e. 72618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/940, 76/782, 588/206 is 72618.

LCM(26/940, 76/782, 588/206) = 72618

LCM of 26/940, 76/782, 588/206

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 26/940,76/782,588/206

Given numbers are 26/940,76/782,588/206

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 26,76,588

Least Common Multiple of Numerators i.e. LCM of 26,76,588 is 145236.

GCF of Denominators means GCF of 940,782,206 as per the given fractions.

GCF of 940,782,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,76,588

LCM of Fractions 26/940,76/782,588/206 is 72618

2 26, 76, 588
2 13, 38, 294
13, 19, 147

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 147 = 145236

Least Common Multiple of 26,76,588 with GCF Formula

Least Common Multiple of 26,76,588 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 26,76,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,76,588) = 2

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

GCF(26,76,588) x common factors =2 x 4 = 8

LCM(26,76,588) = ( 26 × 76 × 588 ) / 8

LCM(26,76,588) = 1161888 / 8

LCM(26,76,588) = 145236


Lets's calculate GCF of 940,782,206

2 940, 782, 206
470, 391, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145236/2

Therefore the LCM of Fractions 26/940,76/782,588/206 is 72618

Greatest Common Factor of 940,782,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,782,206 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 940,782,206 . The biggest common factor number is the GCF number.
So the greatest common factor 940,782,206 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 26/940, 76/782, 588/206

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 26/940, 76/782, 588/206?

Answer: LCM of Numerators as per given numbers 26/940, 76/782, 588/206 is

LCM of Numerators i.e. for 26,76,588 is 145236

GCF of denominators i.e. for 940,782,206 is 2.

Thus, LCM of Fractions is 72618.Finally, LCM of Fractions for 26/940, 76/782, 588/206 is 72618.