Least Common Multiple of 6/740, 97/675, 28/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/740, 97/675, 28/235 quickly i.e. 8148/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/740, 97/675, 28/235 is 8148/5.

LCM(6/740, 97/675, 28/235) = 8148/5

LCM of 6/740, 97/675, 28/235

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 6/740,97/675,28/235

Given numbers are 6/740,97/675,28/235

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 6,97,28

Least Common Multiple of Numerators i.e. LCM of 6,97,28 is 8148.

GCF of Denominators means GCF of 740,675,235 as per the given fractions.

GCF of 740,675,235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,97,28

LCM of Fractions 6/740,97/675,28/235 is 8148/5

2 6, 97, 28
3, 97, 14

∴ So the LCM of the given numbers is 2 x 3 x 97 x 14 = 8148

Least Common Multiple of 6,97,28 with GCF Formula

Least Common Multiple of 6,97,28 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 6,97,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,97,28) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,97,28) x common factors =1 x 2 = 2

LCM(6,97,28) = ( 6 × 97 × 28 ) / 2

LCM(6,97,28) = 16296 / 2

LCM(6,97,28) = 8148


Lets's calculate GCF of 740,675,235

5 740, 675, 235
148, 135, 47

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8148/5

Therefore the LCM of Fractions 6/740,97/675,28/235 is 8148/5

Greatest Common Factor of 740,675,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,675,235 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 740,675,235 . The biggest common factor number is the GCF number.
So the greatest common factor 740,675,235 is 5.


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 6/740, 97/675, 28/235

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 6/740, 97/675, 28/235?

Answer: LCM of Numerators as per given numbers 6/740, 97/675, 28/235 is

LCM of Numerators i.e. for 6,97,28 is 8148

GCF of denominators i.e. for 740,675,235 is 5.

Thus, LCM of Fractions is 8148/5.Finally, LCM of Fractions for 6/740, 97/675, 28/235 is 8148/5.