Least Common Multiple of 7/44, 7/76, 8/62, 56/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/44, 7/76, 8/62, 56/950 quickly i.e. 28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/44, 7/76, 8/62, 56/950 is 28.

LCM(7/44, 7/76, 8/62, 56/950) = 28

LCM of 7/44, 7/76, 8/62, 56/950

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 7/44,7/76,8/62,56/950

Given numbers are 7/44,7/76,8/62,56/950

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 7,7,8,56

Least Common Multiple of Numerators i.e. LCM of 7,7,8,56 is 56.

GCF of Denominators means GCF of 44,76,62,950 as per the given fractions.

GCF of 44,76,62,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,7,8,56

LCM of Fractions 7/44,7/76,8/62,56/950 is 28

2 7, 7, 8, 56
2 7, 7, 4, 28
2 7, 7, 2, 14
7 7, 7, 1, 7
1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 1 x 1 x 1 = 56

Least Common Multiple of 7,7,8,56 with GCF Formula

Least Common Multiple of 7,7,8,56 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 7,7,8,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,7,8,56) = 1

common factors(in case of two or more numbers have common factors) = 392

GCF(7,7,8,56) x common factors =1 x 392 = 392

LCM(7,7,8,56) = ( 7 × 7 × 8 × 56 ) / 392

LCM(7,7,8,56) = 21952 / 392

LCM(7,7,8,56) = 56


Lets's calculate GCF of 44,76,62,950

2 44, 76, 62, 950
22, 38, 31, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56/2

Therefore the LCM of Fractions 7/44,7/76,8/62,56/950 is 28

Greatest Common Factor of 44,76,62,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,76,62,950 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 44,76,62,950 . The biggest common factor number is the GCF number.
So the greatest common factor 44,76,62,950 is 2.


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 7/44, 7/76, 8/62, 56/950

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 7/44, 7/76, 8/62, 56/950?

Answer: LCM of Numerators as per given numbers 7/44, 7/76, 8/62, 56/950 is

LCM of Numerators i.e. for 7,7,8,56 is 56

GCF of denominators i.e. for 44,76,62,950 is 2.

Thus, LCM of Fractions is 28.Finally, LCM of Fractions for 7/44, 7/76, 8/62, 56/950 is 28.