Least Common Multiple of 97/567, 901/546, 270/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/567, 901/546, 270/473 quickly i.e. 23597190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/567, 901/546, 270/473 is 23597190.

LCM(97/567, 901/546, 270/473) = 23597190

LCM of 97/567, 901/546, 270/473

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 97/567,901/546,270/473

Given numbers are 97/567,901/546,270/473

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 97,901,270

Least Common Multiple of Numerators i.e. LCM of 97,901,270 is 23597190.

GCF of Denominators means GCF of 567,546,473 as per the given fractions.

GCF of 567,546,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,901,270

LCM of Fractions 97/567,901/546,270/473 is 23597190

Given numbers has no common factors except 1. So, there LCM is their product i.e 23597190

Least Common Multiple of 97,901,270 with GCF Formula

Least Common Multiple of 97,901,270 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 97,901,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,901,270) = 1

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

GCF(97,901,270) x common factors =1 x 1 = 1

LCM(97,901,270) = ( 97 × 901 × 270 ) / 1

LCM(97,901,270) = 23597190 / 1

LCM(97,901,270) = 23597190


Lets's calculate GCF of 567,546,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23597190/1

Therefore the LCM of Fractions 97/567,901/546,270/473 is 23597190

Greatest Common Factor of 567,546,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,546,473 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 567,546,473 . The biggest common factor number is the GCF number.
So the greatest common factor 567,546,473 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/567, 901/546, 270/473

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 97/567, 901/546, 270/473?

Answer: LCM of Numerators as per given numbers 97/567, 901/546, 270/473 is

LCM of Numerators i.e. for 97,901,270 is 23597190

GCF of denominators i.e. for 567,546,473 is 1.

Thus, LCM of Fractions is 23597190.Finally, LCM of Fractions for 97/567, 901/546, 270/473 is 23597190.