Least Common Multiple of 49/735, 855/314, 313/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/735, 855/314, 313/108 quickly i.e. 13113135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/735, 855/314, 313/108 is 13113135.

LCM(49/735, 855/314, 313/108) = 13113135

LCM of 49/735, 855/314, 313/108

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 49/735,855/314,313/108

Given numbers are 49/735,855/314,313/108

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 49,855,313

Least Common Multiple of Numerators i.e. LCM of 49,855,313 is 13113135.

GCF of Denominators means GCF of 735,314,108 as per the given fractions.

GCF of 735,314,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,855,313

LCM of Fractions 49/735,855/314,313/108 is 13113135

Given numbers has no common factors except 1. So, there LCM is their product i.e 13113135

Least Common Multiple of 49,855,313 with GCF Formula

Least Common Multiple of 49,855,313 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 49,855,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,855,313) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,855,313) x common factors =1 x 1 = 1

LCM(49,855,313) = ( 49 × 855 × 313 ) / 1

LCM(49,855,313) = 13113135 / 1

LCM(49,855,313) = 13113135


Lets's calculate GCF of 735,314,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13113135/1

Therefore the LCM of Fractions 49/735,855/314,313/108 is 13113135

Greatest Common Factor of 735,314,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,314,108 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 735,314,108 . The biggest common factor number is the GCF number.
So the greatest common factor 735,314,108 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 49/735, 855/314, 313/108

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 49/735, 855/314, 313/108?

Answer: LCM of Numerators as per given numbers 49/735, 855/314, 313/108 is

LCM of Numerators i.e. for 49,855,313 is 13113135

GCF of denominators i.e. for 735,314,108 is 1.

Thus, LCM of Fractions is 13113135.Finally, LCM of Fractions for 49/735, 855/314, 313/108 is 13113135.