Least Common Multiple of 719/48, 902/21, 663/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 719/48, 902/21, 663/885 quickly i.e. 143326898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/48, 902/21, 663/885 is 143326898.

LCM(719/48, 902/21, 663/885) = 143326898

LCM of 719/48, 902/21, 663/885

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 719/48,902/21,663/885

Given numbers are 719/48,902/21,663/885

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 719,902,663

Least Common Multiple of Numerators i.e. LCM of 719,902,663 is 429980694.

GCF of Denominators means GCF of 48,21,885 as per the given fractions.

GCF of 48,21,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,902,663

LCM of Fractions 719/48,902/21,663/885 is 143326898

Given numbers has no common factors except 1. So, there LCM is their product i.e 429980694

Least Common Multiple of 719,902,663 with GCF Formula

Least Common Multiple of 719,902,663 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 719,902,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,902,663) = 1

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

GCF(719,902,663) x common factors =1 x 1 = 1

LCM(719,902,663) = ( 719 × 902 × 663 ) / 1

LCM(719,902,663) = 429980694 / 1

LCM(719,902,663) = 429980694


Lets's calculate GCF of 48,21,885

3 48, 21, 885
16, 7, 295

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429980694/3

Therefore the LCM of Fractions 719/48,902/21,663/885 is 143326898

Greatest Common Factor of 48,21,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,21,885 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 48,21,885 . The biggest common factor number is the GCF number.
So the greatest common factor 48,21,885 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 719/48, 902/21, 663/885

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 719/48, 902/21, 663/885?

Answer: LCM of Numerators as per given numbers 719/48, 902/21, 663/885 is

LCM of Numerators i.e. for 719,902,663 is 429980694

GCF of denominators i.e. for 48,21,885 is 3.

Thus, LCM of Fractions is 143326898.Finally, LCM of Fractions for 719/48, 902/21, 663/885 is 143326898.