Least Common Multiple of 4953/946, 8382/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4953/946, 8382/308 quickly i.e. 4953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4953/946, 8382/308 is 4953.

LCM(4953/946, 8382/308) = 4953

LCM of 4953/946, 8382/308

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 4953/946,8382/308

Given numbers are 4953/946,8382/308

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 4953,8382

Least Common Multiple of Numerators i.e. LCM of 4953,8382 is 108966.

GCF of Denominators means GCF of 946,308 as per the given fractions.

GCF of 946,308 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4953,8382

LCM of Fractions 4953/946,8382/308 is 4953

3 4953, 8382
127 1651, 2794
13, 22

∴ So the LCM of the given numbers is 3 x 127 x 13 x 22 = 108966

Least Common Multiple of 4953,8382 with GCF Formula

Least Common Multiple of 4953,8382 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 4953,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4953,8382) = 381

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

GCF(4953,8382) x common factors =381 x 1 = 381

LCM(4953,8382) = ( 4953 × 8382 ) / 381

LCM(4953,8382) = 41516046 / 381

LCM(4953,8382) = 108966


Lets's calculate GCF of 946,308

2 946, 308
11 473, 154
43, 14

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108966/22

Therefore the LCM of Fractions 4953/946,8382/308 is 4953

Greatest Common Factor of 946,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,308 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 946,308 . The biggest common factor number is the GCF number.
So the greatest common factor 946,308 is 22.


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 4953/946, 8382/308

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 4953/946, 8382/308?

Answer: LCM of Numerators as per given numbers 4953/946, 8382/308 is

LCM of Numerators i.e. for 4953,8382 is 108966

GCF of denominators i.e. for 946,308 is 22.

Thus, LCM of Fractions is 4953.Finally, LCM of Fractions for 4953/946, 8382/308 is 4953.