Least Common Multiple of 187/629, 961/738, 319/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/629, 961/738, 319/728 quickly i.e. 5211503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/629, 961/738, 319/728 is 5211503.

LCM(187/629, 961/738, 319/728) = 5211503

LCM of 187/629, 961/738, 319/728

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 187/629,961/738,319/728

Given numbers are 187/629,961/738,319/728

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 187,961,319

Least Common Multiple of Numerators i.e. LCM of 187,961,319 is 5211503.

GCF of Denominators means GCF of 629,738,728 as per the given fractions.

GCF of 629,738,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,961,319

LCM of Fractions 187/629,961/738,319/728 is 5211503

11 187, 961, 319
17, 961, 29

∴ So the LCM of the given numbers is 11 x 17 x 961 x 29 = 5211503

Least Common Multiple of 187,961,319 with GCF Formula

Least Common Multiple of 187,961,319 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 187,961,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,961,319) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(187,961,319) x common factors =1 x 11 = 11

LCM(187,961,319) = ( 187 × 961 × 319 ) / 11

LCM(187,961,319) = 57326533 / 11

LCM(187,961,319) = 5211503


Lets's calculate GCF of 629,738,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5211503/1

Therefore the LCM of Fractions 187/629,961/738,319/728 is 5211503

Greatest Common Factor of 629,738,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,738,728 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 629,738,728 . The biggest common factor number is the GCF number.
So the greatest common factor 629,738,728 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 187/629, 961/738, 319/728

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 187/629, 961/738, 319/728?

Answer: LCM of Numerators as per given numbers 187/629, 961/738, 319/728 is

LCM of Numerators i.e. for 187,961,319 is 5211503

GCF of denominators i.e. for 629,738,728 is 1.

Thus, LCM of Fractions is 5211503.Finally, LCM of Fractions for 187/629, 961/738, 319/728 is 5211503.