Least Common Multiple of 8/28, 2/64, 35/46, 48/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/28, 2/64, 35/46, 48/312 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/28, 2/64, 35/46, 48/312 is 840.

LCM(8/28, 2/64, 35/46, 48/312) = 840

LCM of 8/28, 2/64, 35/46, 48/312

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 8/28,2/64,35/46,48/312

Given numbers are 8/28,2/64,35/46,48/312

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 8,2,35,48

Least Common Multiple of Numerators i.e. LCM of 8,2,35,48 is 1680.

GCF of Denominators means GCF of 28,64,46,312 as per the given fractions.

GCF of 28,64,46,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,2,35,48

LCM of Fractions 8/28,2/64,35/46,48/312 is 840

2 8, 2, 35, 48
2 4, 1, 35, 24
2 2, 1, 35, 12
1, 1, 35, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 35 x 6 = 1680

Least Common Multiple of 8,2,35,48 with GCF Formula

Least Common Multiple of 8,2,35,48 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 8,2,35,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,2,35,48) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(8,2,35,48) x common factors =1 x 16 = 16

LCM(8,2,35,48) = ( 8 × 2 × 35 × 48 ) / 16

LCM(8,2,35,48) = 26880 / 16

LCM(8,2,35,48) = 1680


Lets's calculate GCF of 28,64,46,312

2 28, 64, 46, 312
14, 32, 23, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1680/2

Therefore the LCM of Fractions 8/28,2/64,35/46,48/312 is 840

Greatest Common Factor of 28,64,46,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,64,46,312 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 28,64,46,312 . The biggest common factor number is the GCF number.
So the greatest common factor 28,64,46,312 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 8/28, 2/64, 35/46, 48/312

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 8/28, 2/64, 35/46, 48/312?

Answer: LCM of Numerators as per given numbers 8/28, 2/64, 35/46, 48/312 is

LCM of Numerators i.e. for 8,2,35,48 is 1680

GCF of denominators i.e. for 28,64,46,312 is 2.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 8/28, 2/64, 35/46, 48/312 is 840.