Least Common Multiple of 112/97, 764/98, 321/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/97, 764/98, 321/136 quickly i.e. 6866832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/97, 764/98, 321/136 is 6866832.

LCM(112/97, 764/98, 321/136) = 6866832

LCM of 112/97, 764/98, 321/136

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 112/97,764/98,321/136

Given numbers are 112/97,764/98,321/136

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 112,764,321

Least Common Multiple of Numerators i.e. LCM of 112,764,321 is 6866832.

GCF of Denominators means GCF of 97,98,136 as per the given fractions.

GCF of 97,98,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,764,321

LCM of Fractions 112/97,764/98,321/136 is 6866832

2 112, 764, 321
2 56, 382, 321
28, 191, 321

∴ So the LCM of the given numbers is 2 x 2 x 28 x 191 x 321 = 6866832

Least Common Multiple of 112,764,321 with GCF Formula

Least Common Multiple of 112,764,321 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 112,764,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,764,321) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(112,764,321) x common factors =1 x 4 = 4

LCM(112,764,321) = ( 112 × 764 × 321 ) / 4

LCM(112,764,321) = 27467328 / 4

LCM(112,764,321) = 6866832


Lets's calculate GCF of 97,98,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6866832/1

Therefore the LCM of Fractions 112/97,764/98,321/136 is 6866832

Greatest Common Factor of 97,98,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,98,136 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 97,98,136 . The biggest common factor number is the GCF number.
So the greatest common factor 97,98,136 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 112/97, 764/98, 321/136

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 112/97, 764/98, 321/136?

Answer: LCM of Numerators as per given numbers 112/97, 764/98, 321/136 is

LCM of Numerators i.e. for 112,764,321 is 6866832

GCF of denominators i.e. for 97,98,136 is 1.

Thus, LCM of Fractions is 6866832.Finally, LCM of Fractions for 112/97, 764/98, 321/136 is 6866832.