Least Common Multiple of 97/68, 22/34, 32/64, 68/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/68, 22/34, 32/64, 68/702 quickly i.e. 290224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/68, 22/34, 32/64, 68/702 is 290224.

LCM(97/68, 22/34, 32/64, 68/702) = 290224

LCM of 97/68, 22/34, 32/64, 68/702

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 97/68,22/34,32/64,68/702

Given numbers are 97/68,22/34,32/64,68/702

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 97,22,32,68

Least Common Multiple of Numerators i.e. LCM of 97,22,32,68 is 580448.

GCF of Denominators means GCF of 68,34,64,702 as per the given fractions.

GCF of 68,34,64,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,22,32,68

LCM of Fractions 97/68,22/34,32/64,68/702 is 290224

2 97, 22, 32, 68
2 97, 11, 16, 34
97, 11, 8, 17

∴ So the LCM of the given numbers is 2 x 2 x 97 x 11 x 8 x 17 = 580448

Least Common Multiple of 97,22,32,68 with GCF Formula

Least Common Multiple of 97,22,32,68 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 97,22,32,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,22,32,68) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(97,22,32,68) x common factors =1 x 8 = 8

LCM(97,22,32,68) = ( 97 × 22 × 32 × 68 ) / 8

LCM(97,22,32,68) = 4643584 / 8

LCM(97,22,32,68) = 580448


Lets's calculate GCF of 68,34,64,702

2 68, 34, 64, 702
34, 17, 32, 351

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580448/2

Therefore the LCM of Fractions 97/68,22/34,32/64,68/702 is 290224

Greatest Common Factor of 68,34,64,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,34,64,702 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 68,34,64,702 . The biggest common factor number is the GCF number.
So the greatest common factor 68,34,64,702 is 2.


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 97/68, 22/34, 32/64, 68/702

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 97/68, 22/34, 32/64, 68/702?

Answer: LCM of Numerators as per given numbers 97/68, 22/34, 32/64, 68/702 is

LCM of Numerators i.e. for 97,22,32,68 is 580448

GCF of denominators i.e. for 68,34,64,702 is 2.

Thus, LCM of Fractions is 290224.Finally, LCM of Fractions for 97/68, 22/34, 32/64, 68/702 is 290224.