Least Common Multiple of 9915/71, 4270/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9915/71, 4270/660 quickly i.e. 8467410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9915/71, 4270/660 is 8467410.

LCM(9915/71, 4270/660) = 8467410

LCM of 9915/71, 4270/660

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 9915/71,4270/660

Given numbers are 9915/71,4270/660

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 9915,4270

Least Common Multiple of Numerators i.e. LCM of 9915,4270 is 8467410.

GCF of Denominators means GCF of 71,660 as per the given fractions.

GCF of 71,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9915,4270

LCM of Fractions 9915/71,4270/660 is 8467410

5 9915, 4270
1983, 854

∴ So the LCM of the given numbers is 5 x 1983 x 854 = 8467410

Least Common Multiple of 9915,4270 with GCF Formula

Least Common Multiple of 9915,4270 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 9915,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9915,4270) = 5

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

GCF(9915,4270) x common factors =5 x 1 = 5

LCM(9915,4270) = ( 9915 × 4270 ) / 5

LCM(9915,4270) = 42337050 / 5

LCM(9915,4270) = 8467410


Lets's calculate GCF of 71,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8467410/1

Therefore the LCM of Fractions 9915/71,4270/660 is 8467410

Greatest Common Factor of 71,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,660 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 71,660 . The biggest common factor number is the GCF number.
So the greatest common factor 71,660 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9915/71, 4270/660

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 9915/71, 4270/660?

Answer: LCM of Numerators as per given numbers 9915/71, 4270/660 is

LCM of Numerators i.e. for 9915,4270 is 8467410

GCF of denominators i.e. for 71,660 is 1.

Thus, LCM of Fractions is 8467410.Finally, LCM of Fractions for 9915/71, 4270/660 is 8467410.