Least Common Multiple of 91/97, 69/77, 164/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/97, 69/77, 164/543 quickly i.e. 1029756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/97, 69/77, 164/543 is 1029756.

LCM(91/97, 69/77, 164/543) = 1029756

LCM of 91/97, 69/77, 164/543

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 91/97,69/77,164/543

Given numbers are 91/97,69/77,164/543

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 91,69,164

Least Common Multiple of Numerators i.e. LCM of 91,69,164 is 1029756.

GCF of Denominators means GCF of 97,77,543 as per the given fractions.

GCF of 97,77,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,69,164

LCM of Fractions 91/97,69/77,164/543 is 1029756

Given numbers has no common factors except 1. So, there LCM is their product i.e 1029756

Least Common Multiple of 91,69,164 with GCF Formula

Least Common Multiple of 91,69,164 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 91,69,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,69,164) = 1

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

GCF(91,69,164) x common factors =1 x 1 = 1

LCM(91,69,164) = ( 91 × 69 × 164 ) / 1

LCM(91,69,164) = 1029756 / 1

LCM(91,69,164) = 1029756


Lets's calculate GCF of 97,77,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1029756/1

Therefore the LCM of Fractions 91/97,69/77,164/543 is 1029756

Greatest Common Factor of 97,77,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,77,543 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 97,77,543 . The biggest common factor number is the GCF number.
So the greatest common factor 97,77,543 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/97, 69/77, 164/543

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 91/97, 69/77, 164/543?

Answer: LCM of Numerators as per given numbers 91/97, 69/77, 164/543 is

LCM of Numerators i.e. for 91,69,164 is 1029756

GCF of denominators i.e. for 97,77,543 is 1.

Thus, LCM of Fractions is 1029756.Finally, LCM of Fractions for 91/97, 69/77, 164/543 is 1029756.