Least Common Multiple of 40/25, 713/91, 529/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/25, 713/91, 529/838 quickly i.e. 655960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/25, 713/91, 529/838 is 655960.

LCM(40/25, 713/91, 529/838) = 655960

LCM of 40/25, 713/91, 529/838

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 40/25,713/91,529/838

Given numbers are 40/25,713/91,529/838

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 40,713,529

Least Common Multiple of Numerators i.e. LCM of 40,713,529 is 655960.

GCF of Denominators means GCF of 25,91,838 as per the given fractions.

GCF of 25,91,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,713,529

LCM of Fractions 40/25,713/91,529/838 is 655960

23 40, 713, 529
40, 31, 23

∴ So the LCM of the given numbers is 23 x 40 x 31 x 23 = 655960

Least Common Multiple of 40,713,529 with GCF Formula

Least Common Multiple of 40,713,529 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 40,713,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,713,529) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(40,713,529) x common factors =1 x 23 = 23

LCM(40,713,529) = ( 40 × 713 × 529 ) / 23

LCM(40,713,529) = 15087080 / 23

LCM(40,713,529) = 655960


Lets's calculate GCF of 25,91,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655960/1

Therefore the LCM of Fractions 40/25,713/91,529/838 is 655960

Greatest Common Factor of 25,91,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,91,838 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 25,91,838 . The biggest common factor number is the GCF number.
So the greatest common factor 25,91,838 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/25, 713/91, 529/838

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 40/25, 713/91, 529/838?

Answer: LCM of Numerators as per given numbers 40/25, 713/91, 529/838 is

LCM of Numerators i.e. for 40,713,529 is 655960

GCF of denominators i.e. for 25,91,838 is 1.

Thus, LCM of Fractions is 655960.Finally, LCM of Fractions for 40/25, 713/91, 529/838 is 655960.