Least Common Multiple of 44/74, 82/50, 55/25, 77/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/74, 82/50, 55/25, 77/808 quickly i.e. 63140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/74, 82/50, 55/25, 77/808 is 63140.

LCM(44/74, 82/50, 55/25, 77/808) = 63140

LCM of 44/74, 82/50, 55/25, 77/808

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 44/74,82/50,55/25,77/808

Given numbers are 44/74,82/50,55/25,77/808

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 44,82,55,77

Least Common Multiple of Numerators i.e. LCM of 44,82,55,77 is 63140.

GCF of Denominators means GCF of 74,50,25,808 as per the given fractions.

GCF of 74,50,25,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,82,55,77

LCM of Fractions 44/74,82/50,55/25,77/808 is 63140

2 44, 82, 55, 77
11 22, 41, 55, 77
2, 41, 5, 7

∴ So the LCM of the given numbers is 2 x 11 x 2 x 41 x 5 x 7 = 63140

Least Common Multiple of 44,82,55,77 with GCF Formula

Least Common Multiple of 44,82,55,77 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 44,82,55,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,82,55,77) = 1

common factors(in case of two or more numbers have common factors) = 242

GCF(44,82,55,77) x common factors =1 x 242 = 242

LCM(44,82,55,77) = ( 44 × 82 × 55 × 77 ) / 242

LCM(44,82,55,77) = 15279880 / 242

LCM(44,82,55,77) = 63140


Lets's calculate GCF of 74,50,25,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63140/1

Therefore the LCM of Fractions 44/74,82/50,55/25,77/808 is 63140

Greatest Common Factor of 74,50,25,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,50,25,808 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 74,50,25,808 . The biggest common factor number is the GCF number.
So the greatest common factor 74,50,25,808 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/74, 82/50, 55/25, 77/808

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 44/74, 82/50, 55/25, 77/808?

Answer: LCM of Numerators as per given numbers 44/74, 82/50, 55/25, 77/808 is

LCM of Numerators i.e. for 44,82,55,77 is 63140

GCF of denominators i.e. for 74,50,25,808 is 1.

Thus, LCM of Fractions is 63140.Finally, LCM of Fractions for 44/74, 82/50, 55/25, 77/808 is 63140.