Least Common Multiple of 821/712, 203/156, 292/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/712, 203/156, 292/387 quickly i.e. 48665596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/712, 203/156, 292/387 is 48665596.

LCM(821/712, 203/156, 292/387) = 48665596

LCM of 821/712, 203/156, 292/387

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 821/712,203/156,292/387

Given numbers are 821/712,203/156,292/387

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 821,203,292

Least Common Multiple of Numerators i.e. LCM of 821,203,292 is 48665596.

GCF of Denominators means GCF of 712,156,387 as per the given fractions.

GCF of 712,156,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,203,292

LCM of Fractions 821/712,203/156,292/387 is 48665596

Given numbers has no common factors except 1. So, there LCM is their product i.e 48665596

Least Common Multiple of 821,203,292 with GCF Formula

Least Common Multiple of 821,203,292 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 821,203,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,203,292) = 1

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

GCF(821,203,292) x common factors =1 x 1 = 1

LCM(821,203,292) = ( 821 × 203 × 292 ) / 1

LCM(821,203,292) = 48665596 / 1

LCM(821,203,292) = 48665596


Lets's calculate GCF of 712,156,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48665596/1

Therefore the LCM of Fractions 821/712,203/156,292/387 is 48665596

Greatest Common Factor of 712,156,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,156,387 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 712,156,387 . The biggest common factor number is the GCF number.
So the greatest common factor 712,156,387 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 821/712, 203/156, 292/387

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 821/712, 203/156, 292/387?

Answer: LCM of Numerators as per given numbers 821/712, 203/156, 292/387 is

LCM of Numerators i.e. for 821,203,292 is 48665596

GCF of denominators i.e. for 712,156,387 is 1.

Thus, LCM of Fractions is 48665596.Finally, LCM of Fractions for 821/712, 203/156, 292/387 is 48665596.