Least Common Multiple of 988/997, 728/877, 501/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/997, 728/877, 501/813 quickly i.e. 6929832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/997, 728/877, 501/813 is 6929832.

LCM(988/997, 728/877, 501/813) = 6929832

LCM of 988/997, 728/877, 501/813

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 988/997,728/877,501/813

Given numbers are 988/997,728/877,501/813

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 988,728,501

Least Common Multiple of Numerators i.e. LCM of 988,728,501 is 6929832.

GCF of Denominators means GCF of 997,877,813 as per the given fractions.

GCF of 997,877,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,728,501

LCM of Fractions 988/997,728/877,501/813 is 6929832

2 988, 728, 501
2 494, 364, 501
13 247, 182, 501
19, 14, 501

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 14 x 501 = 6929832

Least Common Multiple of 988,728,501 with GCF Formula

Least Common Multiple of 988,728,501 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 988,728,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,728,501) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(988,728,501) x common factors =1 x 52 = 52

LCM(988,728,501) = ( 988 × 728 × 501 ) / 52

LCM(988,728,501) = 360351264 / 52

LCM(988,728,501) = 6929832


Lets's calculate GCF of 997,877,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6929832/1

Therefore the LCM of Fractions 988/997,728/877,501/813 is 6929832

Greatest Common Factor of 997,877,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,877,813 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 997,877,813 . The biggest common factor number is the GCF number.
So the greatest common factor 997,877,813 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 988/997, 728/877, 501/813

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 988/997, 728/877, 501/813?

Answer: LCM of Numerators as per given numbers 988/997, 728/877, 501/813 is

LCM of Numerators i.e. for 988,728,501 is 6929832

GCF of denominators i.e. for 997,877,813 is 1.

Thus, LCM of Fractions is 6929832.Finally, LCM of Fractions for 988/997, 728/877, 501/813 is 6929832.