Least Common Multiple of 2917/130, 9300/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2917/130, 9300/645 quickly i.e. 5425620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2917/130, 9300/645 is 5425620.

LCM(2917/130, 9300/645) = 5425620

LCM of 2917/130, 9300/645

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 2917/130,9300/645

Given numbers are 2917/130,9300/645

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 2917,9300

Least Common Multiple of Numerators i.e. LCM of 2917,9300 is 27128100.

GCF of Denominators means GCF of 130,645 as per the given fractions.

GCF of 130,645 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2917,9300

LCM of Fractions 2917/130,9300/645 is 5425620

Given numbers has no common factors except 1. So, there LCM is their product i.e 27128100

Least Common Multiple of 2917,9300 with GCF Formula

Least Common Multiple of 2917,9300 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 2917,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2917,9300) = 1

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

GCF(2917,9300) x common factors =1 x 1 = 1

LCM(2917,9300) = ( 2917 × 9300 ) / 1

LCM(2917,9300) = 27128100 / 1

LCM(2917,9300) = 27128100


Lets's calculate GCF of 130,645

5 130, 645
26, 129

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27128100/5

Therefore the LCM of Fractions 2917/130,9300/645 is 5425620

Greatest Common Factor of 130,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,645 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 130,645 . The biggest common factor number is the GCF number.
So the greatest common factor 130,645 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2917/130, 9300/645

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 2917/130, 9300/645?

Answer: LCM of Numerators as per given numbers 2917/130, 9300/645 is

LCM of Numerators i.e. for 2917,9300 is 27128100

GCF of denominators i.e. for 130,645 is 5.

Thus, LCM of Fractions is 5425620.Finally, LCM of Fractions for 2917/130, 9300/645 is 5425620.