Least Common Multiple of 79/33, 97/35, 64/63, 21/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/33, 97/35, 64/63, 21/698 quickly i.e. 10299072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/33, 97/35, 64/63, 21/698 is 10299072.

LCM(79/33, 97/35, 64/63, 21/698) = 10299072

LCM of 79/33, 97/35, 64/63, 21/698

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 79/33,97/35,64/63,21/698

Given numbers are 79/33,97/35,64/63,21/698

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 79,97,64,21

Least Common Multiple of Numerators i.e. LCM of 79,97,64,21 is 10299072.

GCF of Denominators means GCF of 33,35,63,698 as per the given fractions.

GCF of 33,35,63,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,97,64,21

LCM of Fractions 79/33,97/35,64/63,21/698 is 10299072

Given numbers has no common factors except 1. So, there LCM is their product i.e 10299072

Least Common Multiple of 79,97,64,21 with GCF Formula

Least Common Multiple of 79,97,64,21 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 79,97,64,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,97,64,21) = 1

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

GCF(79,97,64,21) x common factors =1 x 1 = 1

LCM(79,97,64,21) = ( 79 × 97 × 64 × 21 ) / 1

LCM(79,97,64,21) = 10299072 / 1

LCM(79,97,64,21) = 10299072


Lets's calculate GCF of 33,35,63,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10299072/1

Therefore the LCM of Fractions 79/33,97/35,64/63,21/698 is 10299072

Greatest Common Factor of 33,35,63,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,35,63,698 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 33,35,63,698 . The biggest common factor number is the GCF number.
So the greatest common factor 33,35,63,698 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/33, 97/35, 64/63, 21/698

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 79/33, 97/35, 64/63, 21/698?

Answer: LCM of Numerators as per given numbers 79/33, 97/35, 64/63, 21/698 is

LCM of Numerators i.e. for 79,97,64,21 is 10299072

GCF of denominators i.e. for 33,35,63,698 is 1.

Thus, LCM of Fractions is 10299072.Finally, LCM of Fractions for 79/33, 97/35, 64/63, 21/698 is 10299072.