Least Common Multiple of 308/52, 958/25, 268/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/52, 958/25, 268/849 quickly i.e. 9884644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/52, 958/25, 268/849 is 9884644.

LCM(308/52, 958/25, 268/849) = 9884644

LCM of 308/52, 958/25, 268/849

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 308/52,958/25,268/849

Given numbers are 308/52,958/25,268/849

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 308,958,268

Least Common Multiple of Numerators i.e. LCM of 308,958,268 is 9884644.

GCF of Denominators means GCF of 52,25,849 as per the given fractions.

GCF of 52,25,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,958,268

LCM of Fractions 308/52,958/25,268/849 is 9884644

2 308, 958, 268
2 154, 479, 134
77, 479, 67

∴ So the LCM of the given numbers is 2 x 2 x 77 x 479 x 67 = 9884644

Least Common Multiple of 308,958,268 with GCF Formula

Least Common Multiple of 308,958,268 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 308,958,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,958,268) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(308,958,268) x common factors =2 x 4 = 8

LCM(308,958,268) = ( 308 × 958 × 268 ) / 8

LCM(308,958,268) = 79077152 / 8

LCM(308,958,268) = 9884644


Lets's calculate GCF of 52,25,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9884644/1

Therefore the LCM of Fractions 308/52,958/25,268/849 is 9884644

Greatest Common Factor of 52,25,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,25,849 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 52,25,849 . The biggest common factor number is the GCF number.
So the greatest common factor 52,25,849 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 308/52, 958/25, 268/849

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 308/52, 958/25, 268/849?

Answer: LCM of Numerators as per given numbers 308/52, 958/25, 268/849 is

LCM of Numerators i.e. for 308,958,268 is 9884644

GCF of denominators i.e. for 52,25,849 is 1.

Thus, LCM of Fractions is 9884644.Finally, LCM of Fractions for 308/52, 958/25, 268/849 is 9884644.