Least Common Multiple of 971/99, 661/84, 426/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 971/99, 661/84, 426/453 quickly i.e. 91140002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/99, 661/84, 426/453 is 91140002.

LCM(971/99, 661/84, 426/453) = 91140002

LCM of 971/99, 661/84, 426/453

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 971/99,661/84,426/453

Given numbers are 971/99,661/84,426/453

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 971,661,426

Least Common Multiple of Numerators i.e. LCM of 971,661,426 is 273420006.

GCF of Denominators means GCF of 99,84,453 as per the given fractions.

GCF of 99,84,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,661,426

LCM of Fractions 971/99,661/84,426/453 is 91140002

Given numbers has no common factors except 1. So, there LCM is their product i.e 273420006

Least Common Multiple of 971,661,426 with GCF Formula

Least Common Multiple of 971,661,426 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 971,661,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,661,426) = 1

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

GCF(971,661,426) x common factors =1 x 1 = 1

LCM(971,661,426) = ( 971 × 661 × 426 ) / 1

LCM(971,661,426) = 273420006 / 1

LCM(971,661,426) = 273420006


Lets's calculate GCF of 99,84,453

3 99, 84, 453
33, 28, 151

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273420006/3

Therefore the LCM of Fractions 971/99,661/84,426/453 is 91140002

Greatest Common Factor of 99,84,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,84,453 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 99,84,453 . The biggest common factor number is the GCF number.
So the greatest common factor 99,84,453 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 971/99, 661/84, 426/453

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 971/99, 661/84, 426/453?

Answer: LCM of Numerators as per given numbers 971/99, 661/84, 426/453 is

LCM of Numerators i.e. for 971,661,426 is 273420006

GCF of denominators i.e. for 99,84,453 is 3.

Thus, LCM of Fractions is 91140002.Finally, LCM of Fractions for 971/99, 661/84, 426/453 is 91140002.