Least Common Multiple of 70/28, 78/83, 60/28, 44/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/28, 78/83, 60/28, 44/944 quickly i.e. 60060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/28, 78/83, 60/28, 44/944 is 60060.

LCM(70/28, 78/83, 60/28, 44/944) = 60060

LCM of 70/28, 78/83, 60/28, 44/944

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 70/28,78/83,60/28,44/944

Given numbers are 70/28,78/83,60/28,44/944

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 70,78,60,44

Least Common Multiple of Numerators i.e. LCM of 70,78,60,44 is 60060.

GCF of Denominators means GCF of 28,83,28,944 as per the given fractions.

GCF of 28,83,28,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,78,60,44

LCM of Fractions 70/28,78/83,60/28,44/944 is 60060

2 70, 78, 60, 44
2 35, 39, 30, 22
3 35, 39, 15, 11
5 35, 13, 5, 11
7, 13, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 13 x 1 x 11 = 60060

Least Common Multiple of 70,78,60,44 with GCF Formula

Least Common Multiple of 70,78,60,44 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 70,78,60,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,78,60,44) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(70,78,60,44) x common factors =2 x 120 = 240

LCM(70,78,60,44) = ( 70 × 78 × 60 × 44 ) / 240

LCM(70,78,60,44) = 14414400 / 240

LCM(70,78,60,44) = 60060


Lets's calculate GCF of 28,83,28,944

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/1

Therefore the LCM of Fractions 70/28,78/83,60/28,44/944 is 60060

Greatest Common Factor of 28,83,28,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,83,28,944 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 28,83,28,944 . The biggest common factor number is the GCF number.
So the greatest common factor 28,83,28,944 is 1.


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 70/28, 78/83, 60/28, 44/944

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 70/28, 78/83, 60/28, 44/944?

Answer: LCM of Numerators as per given numbers 70/28, 78/83, 60/28, 44/944 is

LCM of Numerators i.e. for 70,78,60,44 is 60060

GCF of denominators i.e. for 28,83,28,944 is 1.

Thus, LCM of Fractions is 60060.Finally, LCM of Fractions for 70/28, 78/83, 60/28, 44/944 is 60060.