Least Common Multiple of 44/672, 8067/6820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/672, 8067/6820 quickly i.e. 88737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/672, 8067/6820 is 88737.

LCM(44/672, 8067/6820) = 88737

LCM of 44/672, 8067/6820

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 44/672,8067/6820

Given numbers are 44/672,8067/6820

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 44,8067

Least Common Multiple of Numerators i.e. LCM of 44,8067 is 354948.

GCF of Denominators means GCF of 672,6820 as per the given fractions.

GCF of 672,6820 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,8067

LCM of Fractions 44/672,8067/6820 is 88737

Given numbers has no common factors except 1. So, there LCM is their product i.e 354948

Least Common Multiple of 44,8067 with GCF Formula

Least Common Multiple of 44,8067 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 44,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,8067) = 1

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

GCF(44,8067) x common factors =1 x 1 = 1

LCM(44,8067) = ( 44 × 8067 ) / 1

LCM(44,8067) = 354948 / 1

LCM(44,8067) = 354948


Lets's calculate GCF of 672,6820

2 672, 6820
2 336, 3410
168, 1705

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354948/4

Therefore the LCM of Fractions 44/672,8067/6820 is 88737

Greatest Common Factor of 672,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,6820 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 672,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 672,6820 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/672, 8067/6820

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 44/672, 8067/6820?

Answer: LCM of Numerators as per given numbers 44/672, 8067/6820 is

LCM of Numerators i.e. for 44,8067 is 354948

GCF of denominators i.e. for 672,6820 is 4.

Thus, LCM of Fractions is 88737.Finally, LCM of Fractions for 44/672, 8067/6820 is 88737.