Least Common Multiple of 25/197, 264/47, 970/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/197, 264/47, 970/912 quickly i.e. 640200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/197, 264/47, 970/912 is 640200.

LCM(25/197, 264/47, 970/912) = 640200

LCM of 25/197, 264/47, 970/912

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 25/197,264/47,970/912

Given numbers are 25/197,264/47,970/912

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 25,264,970

Least Common Multiple of Numerators i.e. LCM of 25,264,970 is 640200.

GCF of Denominators means GCF of 197,47,912 as per the given fractions.

GCF of 197,47,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,264,970

LCM of Fractions 25/197,264/47,970/912 is 640200

2 25, 264, 970
5 25, 132, 485
5, 132, 97

∴ So the LCM of the given numbers is 2 x 5 x 5 x 132 x 97 = 640200

Least Common Multiple of 25,264,970 with GCF Formula

Least Common Multiple of 25,264,970 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 25,264,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,264,970) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(25,264,970) x common factors =1 x 10 = 10

LCM(25,264,970) = ( 25 × 264 × 970 ) / 10

LCM(25,264,970) = 6402000 / 10

LCM(25,264,970) = 640200


Lets's calculate GCF of 197,47,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640200/1

Therefore the LCM of Fractions 25/197,264/47,970/912 is 640200

Greatest Common Factor of 197,47,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,47,912 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 197,47,912 . The biggest common factor number is the GCF number.
So the greatest common factor 197,47,912 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 25/197, 264/47, 970/912

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 25/197, 264/47, 970/912?

Answer: LCM of Numerators as per given numbers 25/197, 264/47, 970/912 is

LCM of Numerators i.e. for 25,264,970 is 640200

GCF of denominators i.e. for 197,47,912 is 1.

Thus, LCM of Fractions is 640200.Finally, LCM of Fractions for 25/197, 264/47, 970/912 is 640200.