Least Common Multiple of 79/71, 62/33, 35/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/71, 62/33, 35/970 quickly i.e. 171430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/71, 62/33, 35/970 is 171430.

LCM(79/71, 62/33, 35/970) = 171430

LCM of 79/71, 62/33, 35/970

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 79/71,62/33,35/970

Given numbers are 79/71,62/33,35/970

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 79,62,35

Least Common Multiple of Numerators i.e. LCM of 79,62,35 is 171430.

GCF of Denominators means GCF of 71,33,970 as per the given fractions.

GCF of 71,33,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,62,35

LCM of Fractions 79/71,62/33,35/970 is 171430

Given numbers has no common factors except 1. So, there LCM is their product i.e 171430

Least Common Multiple of 79,62,35 with GCF Formula

Least Common Multiple of 79,62,35 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 79,62,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,62,35) = 1

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

GCF(79,62,35) x common factors =1 x 1 = 1

LCM(79,62,35) = ( 79 × 62 × 35 ) / 1

LCM(79,62,35) = 171430 / 1

LCM(79,62,35) = 171430


Lets's calculate GCF of 71,33,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171430/1

Therefore the LCM of Fractions 79/71,62/33,35/970 is 171430

Greatest Common Factor of 71,33,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,33,970 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 33

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

1,3,11,33

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 71,33,970 . The biggest common factor number is the GCF number.
So the greatest common factor 71,33,970 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/71, 62/33, 35/970

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 79/71, 62/33, 35/970?

Answer: LCM of Numerators as per given numbers 79/71, 62/33, 35/970 is

LCM of Numerators i.e. for 79,62,35 is 171430

GCF of denominators i.e. for 71,33,970 is 1.

Thus, LCM of Fractions is 171430.Finally, LCM of Fractions for 79/71, 62/33, 35/970 is 171430.