Least Common Multiple of 97/87, 17/61, 96/97, 625/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/87, 17/61, 96/97, 625/48 quickly i.e. 98940000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/87, 17/61, 96/97, 625/48 is 98940000.

LCM(97/87, 17/61, 96/97, 625/48) = 98940000

LCM of 97/87, 17/61, 96/97, 625/48

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 97/87,17/61,96/97,625/48

Given numbers are 97/87,17/61,96/97,625/48

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 97,17,96,625

Least Common Multiple of Numerators i.e. LCM of 97,17,96,625 is 98940000.

GCF of Denominators means GCF of 87,61,97,48 as per the given fractions.

GCF of 87,61,97,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,17,96,625

LCM of Fractions 97/87,17/61,96/97,625/48 is 98940000

Given numbers has no common factors except 1. So, there LCM is their product i.e 98940000

Least Common Multiple of 97,17,96,625 with GCF Formula

Least Common Multiple of 97,17,96,625 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 97,17,96,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,17,96,625) = 1

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

GCF(97,17,96,625) x common factors =1 x 1 = 1

LCM(97,17,96,625) = ( 97 × 17 × 96 × 625 ) / 1

LCM(97,17,96,625) = 98940000 / 1

LCM(97,17,96,625) = 98940000


Lets's calculate GCF of 87,61,97,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98940000/1

Therefore the LCM of Fractions 97/87,17/61,96/97,625/48 is 98940000

Greatest Common Factor of 87,61,97,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,61,97,48 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 97

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

1,97

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 87,61,97,48 . The biggest common factor number is the GCF number.
So the greatest common factor 87,61,97,48 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 97/87, 17/61, 96/97, 625/48

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 97/87, 17/61, 96/97, 625/48?

Answer: LCM of Numerators as per given numbers 97/87, 17/61, 96/97, 625/48 is

LCM of Numerators i.e. for 97,17,96,625 is 98940000

GCF of denominators i.e. for 87,61,97,48 is 1.

Thus, LCM of Fractions is 98940000.Finally, LCM of Fractions for 97/87, 17/61, 96/97, 625/48 is 98940000.