Least Common Multiple of 97/14, 78/85, 60/57, 35/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/14, 78/85, 60/57, 35/649 quickly i.e. 529620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/14, 78/85, 60/57, 35/649 is 529620.

LCM(97/14, 78/85, 60/57, 35/649) = 529620

LCM of 97/14, 78/85, 60/57, 35/649

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 97/14,78/85,60/57,35/649

Given numbers are 97/14,78/85,60/57,35/649

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 97,78,60,35

Least Common Multiple of Numerators i.e. LCM of 97,78,60,35 is 529620.

GCF of Denominators means GCF of 14,85,57,649 as per the given fractions.

GCF of 14,85,57,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,78,60,35

LCM of Fractions 97/14,78/85,60/57,35/649 is 529620

2 97, 78, 60, 35
3 97, 39, 30, 35
5 97, 13, 10, 35
97, 13, 2, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 13 x 2 x 7 = 529620

Least Common Multiple of 97,78,60,35 with GCF Formula

Least Common Multiple of 97,78,60,35 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 97,78,60,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,78,60,35) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(97,78,60,35) x common factors =1 x 30 = 30

LCM(97,78,60,35) = ( 97 × 78 × 60 × 35 ) / 30

LCM(97,78,60,35) = 15888600 / 30

LCM(97,78,60,35) = 529620


Lets's calculate GCF of 14,85,57,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529620/1

Therefore the LCM of Fractions 97/14,78/85,60/57,35/649 is 529620

Greatest Common Factor of 14,85,57,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,85,57,649 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 14,85,57,649 . The biggest common factor number is the GCF number.
So the greatest common factor 14,85,57,649 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 97/14, 78/85, 60/57, 35/649

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 97/14, 78/85, 60/57, 35/649?

Answer: LCM of Numerators as per given numbers 97/14, 78/85, 60/57, 35/649 is

LCM of Numerators i.e. for 97,78,60,35 is 529620

GCF of denominators i.e. for 14,85,57,649 is 1.

Thus, LCM of Fractions is 529620.Finally, LCM of Fractions for 97/14, 78/85, 60/57, 35/649 is 529620.