Least Common Multiple of 312/33, 695/4953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/33, 695/4953 quickly i.e. 72280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/33, 695/4953 is 72280.

LCM(312/33, 695/4953) = 72280

LCM of 312/33, 695/4953

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 312/33,695/4953

Given numbers are 312/33,695/4953

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 312,695

Least Common Multiple of Numerators i.e. LCM of 312,695 is 216840.

GCF of Denominators means GCF of 33,4953 as per the given fractions.

GCF of 33,4953 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,695

LCM of Fractions 312/33,695/4953 is 72280

Given numbers has no common factors except 1. So, there LCM is their product i.e 216840

Least Common Multiple of 312,695 with GCF Formula

Least Common Multiple of 312,695 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 312,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,695) = 1

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

GCF(312,695) x common factors =1 x 1 = 1

LCM(312,695) = ( 312 × 695 ) / 1

LCM(312,695) = 216840 / 1

LCM(312,695) = 216840


Lets's calculate GCF of 33,4953

3 33, 4953
11, 1651

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216840/3

Therefore the LCM of Fractions 312/33,695/4953 is 72280

Greatest Common Factor of 33,4953 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,4953 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1,3,13,39,127,381,1651,4953

Greatest Common Factor

We found the factors 33,4953 . The biggest common factor number is the GCF number.
So the greatest common factor 33,4953 is 3.


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 312/33, 695/4953

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 312/33, 695/4953?

Answer: LCM of Numerators as per given numbers 312/33, 695/4953 is

LCM of Numerators i.e. for 312,695 is 216840

GCF of denominators i.e. for 33,4953 is 3.

Thus, LCM of Fractions is 72280.Finally, LCM of Fractions for 312/33, 695/4953 is 72280.