Least Common Multiple of 991/664, 424/507, 607/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 991/664, 424/507, 607/972 quickly i.e. 255051688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/664, 424/507, 607/972 is 255051688.

LCM(991/664, 424/507, 607/972) = 255051688

LCM of 991/664, 424/507, 607/972

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 991/664,424/507,607/972

Given numbers are 991/664,424/507,607/972

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 991,424,607

Least Common Multiple of Numerators i.e. LCM of 991,424,607 is 255051688.

GCF of Denominators means GCF of 664,507,972 as per the given fractions.

GCF of 664,507,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,424,607

LCM of Fractions 991/664,424/507,607/972 is 255051688

Given numbers has no common factors except 1. So, there LCM is their product i.e 255051688

Least Common Multiple of 991,424,607 with GCF Formula

Least Common Multiple of 991,424,607 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 991,424,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,424,607) = 1

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

GCF(991,424,607) x common factors =1 x 1 = 1

LCM(991,424,607) = ( 991 × 424 × 607 ) / 1

LCM(991,424,607) = 255051688 / 1

LCM(991,424,607) = 255051688


Lets's calculate GCF of 664,507,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255051688/1

Therefore the LCM of Fractions 991/664,424/507,607/972 is 255051688

Greatest Common Factor of 664,507,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,507,972 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 664,507,972 . The biggest common factor number is the GCF number.
So the greatest common factor 664,507,972 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 991/664, 424/507, 607/972

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 991/664, 424/507, 607/972?

Answer: LCM of Numerators as per given numbers 991/664, 424/507, 607/972 is

LCM of Numerators i.e. for 991,424,607 is 255051688

GCF of denominators i.e. for 664,507,972 is 1.

Thus, LCM of Fractions is 255051688.Finally, LCM of Fractions for 991/664, 424/507, 607/972 is 255051688.