Least Common Multiple of 74/97, 745/21, 965/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/97, 745/21, 965/197 quickly i.e. 10640090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/97, 745/21, 965/197 is 10640090.

LCM(74/97, 745/21, 965/197) = 10640090

LCM of 74/97, 745/21, 965/197

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 74/97,745/21,965/197

Given numbers are 74/97,745/21,965/197

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 74,745,965

Least Common Multiple of Numerators i.e. LCM of 74,745,965 is 10640090.

GCF of Denominators means GCF of 97,21,197 as per the given fractions.

GCF of 97,21,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,745,965

LCM of Fractions 74/97,745/21,965/197 is 10640090

5 74, 745, 965
74, 149, 193

∴ So the LCM of the given numbers is 5 x 74 x 149 x 193 = 10640090

Least Common Multiple of 74,745,965 with GCF Formula

Least Common Multiple of 74,745,965 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 74,745,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,745,965) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(74,745,965) x common factors =1 x 5 = 5

LCM(74,745,965) = ( 74 × 745 × 965 ) / 5

LCM(74,745,965) = 53200450 / 5

LCM(74,745,965) = 10640090


Lets's calculate GCF of 97,21,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10640090/1

Therefore the LCM of Fractions 74/97,745/21,965/197 is 10640090

Greatest Common Factor of 97,21,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,21,197 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 197

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

1,197

Greatest Common Factor

We found the factors 97,21,197 . The biggest common factor number is the GCF number.
So the greatest common factor 97,21,197 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 74/97, 745/21, 965/197

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 74/97, 745/21, 965/197?

Answer: LCM of Numerators as per given numbers 74/97, 745/21, 965/197 is

LCM of Numerators i.e. for 74,745,965 is 10640090

GCF of denominators i.e. for 97,21,197 is 1.

Thus, LCM of Fractions is 10640090.Finally, LCM of Fractions for 74/97, 745/21, 965/197 is 10640090.