Least Common Multiple of 312/84, 949/3668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/84, 949/3668 quickly i.e. 22776/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/84, 949/3668 is 22776/28.

LCM(312/84, 949/3668) = 22776/28

LCM of 312/84, 949/3668

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 312/84,949/3668

Given numbers are 312/84,949/3668

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 312,949

Least Common Multiple of Numerators i.e. LCM of 312,949 is 22776.

GCF of Denominators means GCF of 84,3668 as per the given fractions.

GCF of 84,3668 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,949

LCM of Fractions 312/84,949/3668 is 22776/28

13 312, 949
24, 73

∴ So the LCM of the given numbers is 13 x 24 x 73 = 22776

Least Common Multiple of 312,949 with GCF Formula

Least Common Multiple of 312,949 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 312,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,949) = 13

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

GCF(312,949) x common factors =13 x 1 = 13

LCM(312,949) = ( 312 × 949 ) / 13

LCM(312,949) = 296088 / 13

LCM(312,949) = 22776


Lets's calculate GCF of 84,3668

2 84, 3668
2 42, 1834
7 21, 917
3, 131

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22776/28

Therefore the LCM of Fractions 312/84,949/3668 is 22776/28

Greatest Common Factor of 84,3668 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,3668 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors 84,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 84,3668 is 28.


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 312/84, 949/3668

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 312/84, 949/3668?

Answer: LCM of Numerators as per given numbers 312/84, 949/3668 is

LCM of Numerators i.e. for 312,949 is 22776

GCF of denominators i.e. for 84,3668 is 28.

Thus, LCM of Fractions is 22776/28.Finally, LCM of Fractions for 312/84, 949/3668 is 22776/28.