Least Common Multiple of 6/64, 7/48, 60/18, 35/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/64, 7/48, 60/18, 35/952 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/64, 7/48, 60/18, 35/952 is 210.

LCM(6/64, 7/48, 60/18, 35/952) = 210

LCM of 6/64, 7/48, 60/18, 35/952

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 6/64,7/48,60/18,35/952

Given numbers are 6/64,7/48,60/18,35/952

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 6,7,60,35

Least Common Multiple of Numerators i.e. LCM of 6,7,60,35 is 420.

GCF of Denominators means GCF of 64,48,18,952 as per the given fractions.

GCF of 64,48,18,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7,60,35

LCM of Fractions 6/64,7/48,60/18,35/952 is 210

2 6, 7, 60, 35
3 3, 7, 30, 35
5 1, 7, 10, 35
7 1, 7, 2, 7
1, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 2 x 1 = 420

Least Common Multiple of 6,7,60,35 with GCF Formula

Least Common Multiple of 6,7,60,35 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 6,7,60,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,60,35) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(6,7,60,35) x common factors =1 x 210 = 210

LCM(6,7,60,35) = ( 6 × 7 × 60 × 35 ) / 210

LCM(6,7,60,35) = 88200 / 210

LCM(6,7,60,35) = 420


Lets's calculate GCF of 64,48,18,952

2 64, 48, 18, 952
32, 24, 9, 476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/2

Therefore the LCM of Fractions 6/64,7/48,60/18,35/952 is 210

Greatest Common Factor of 64,48,18,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,48,18,952 By Matching Biggest Common Factor Method

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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 64,48,18,952 . The biggest common factor number is the GCF number.
So the greatest common factor 64,48,18,952 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 6/64, 7/48, 60/18, 35/952

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 6/64, 7/48, 60/18, 35/952?

Answer: LCM of Numerators as per given numbers 6/64, 7/48, 60/18, 35/952 is

LCM of Numerators i.e. for 6,7,60,35 is 420

GCF of denominators i.e. for 64,48,18,952 is 2.

Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 6/64, 7/48, 60/18, 35/952 is 210.