Least Common Multiple of 153/64, 410/28, 235/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/64, 410/28, 235/408 quickly i.e. 2948310/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/64, 410/28, 235/408 is 2948310/4.

LCM(153/64, 410/28, 235/408) = 2948310/4

LCM of 153/64, 410/28, 235/408

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 153/64,410/28,235/408

Given numbers are 153/64,410/28,235/408

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 153,410,235

Least Common Multiple of Numerators i.e. LCM of 153,410,235 is 2948310.

GCF of Denominators means GCF of 64,28,408 as per the given fractions.

GCF of 64,28,408 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,410,235

LCM of Fractions 153/64,410/28,235/408 is 2948310/4

5 153, 410, 235
153, 82, 47

∴ So the LCM of the given numbers is 5 x 153 x 82 x 47 = 2948310

Least Common Multiple of 153,410,235 with GCF Formula

Least Common Multiple of 153,410,235 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 153,410,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,410,235) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(153,410,235) x common factors =1 x 5 = 5

LCM(153,410,235) = ( 153 × 410 × 235 ) / 5

LCM(153,410,235) = 14741550 / 5

LCM(153,410,235) = 2948310


Lets's calculate GCF of 64,28,408

2 64, 28, 408
2 32, 14, 204
16, 7, 102

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2948310/4

Therefore the LCM of Fractions 153/64,410/28,235/408 is 2948310/4

Greatest Common Factor of 64,28,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,28,408 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 28

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

1,2,4,7,14,28

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 64,28,408 . The biggest common factor number is the GCF number.
So the greatest common factor 64,28,408 is 4.


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 153/64, 410/28, 235/408

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 153/64, 410/28, 235/408?

Answer: LCM of Numerators as per given numbers 153/64, 410/28, 235/408 is

LCM of Numerators i.e. for 153,410,235 is 2948310

GCF of denominators i.e. for 64,28,408 is 4.

Thus, LCM of Fractions is 2948310/4.Finally, LCM of Fractions for 153/64, 410/28, 235/408 is 2948310/4.