Least Common Multiple of 44/702, 311/261, 391/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/702, 311/261, 391/828 quickly i.e. 5350444/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/702, 311/261, 391/828 is 5350444/9.

LCM(44/702, 311/261, 391/828) = 5350444/9

LCM of 44/702, 311/261, 391/828

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 44/702,311/261,391/828

Given numbers are 44/702,311/261,391/828

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 44,311,391

Least Common Multiple of Numerators i.e. LCM of 44,311,391 is 5350444.

GCF of Denominators means GCF of 702,261,828 as per the given fractions.

GCF of 702,261,828 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,311,391

LCM of Fractions 44/702,311/261,391/828 is 5350444/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 5350444

Least Common Multiple of 44,311,391 with GCF Formula

Least Common Multiple of 44,311,391 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 44,311,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,311,391) = 1

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

GCF(44,311,391) x common factors =1 x 1 = 1

LCM(44,311,391) = ( 44 × 311 × 391 ) / 1

LCM(44,311,391) = 5350444 / 1

LCM(44,311,391) = 5350444


Lets's calculate GCF of 702,261,828

3 702, 261, 828
3 234, 87, 276
78, 29, 92

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5350444/9

Therefore the LCM of Fractions 44/702,311/261,391/828 is 5350444/9

Greatest Common Factor of 702,261,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,261,828 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 702,261,828 . The biggest common factor number is the GCF number.
So the greatest common factor 702,261,828 is 9.


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 44/702, 311/261, 391/828

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 44/702, 311/261, 391/828?

Answer: LCM of Numerators as per given numbers 44/702, 311/261, 391/828 is

LCM of Numerators i.e. for 44,311,391 is 5350444

GCF of denominators i.e. for 702,261,828 is 9.

Thus, LCM of Fractions is 5350444/9.Finally, LCM of Fractions for 44/702, 311/261, 391/828 is 5350444/9.