Least Common Multiple of 44/44, 67/61, 31/97, 48/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/44, 67/61, 31/97, 48/625 quickly i.e. 1096656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/44, 67/61, 31/97, 48/625 is 1096656.

LCM(44/44, 67/61, 31/97, 48/625) = 1096656

LCM of 44/44, 67/61, 31/97, 48/625

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 44/44,67/61,31/97,48/625

Given numbers are 44/44,67/61,31/97,48/625

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 44,67,31,48

Least Common Multiple of Numerators i.e. LCM of 44,67,31,48 is 1096656.

GCF of Denominators means GCF of 44,61,97,625 as per the given fractions.

GCF of 44,61,97,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,67,31,48

LCM of Fractions 44/44,67/61,31/97,48/625 is 1096656

2 44, 67, 31, 48
2 22, 67, 31, 24
11, 67, 31, 12

∴ So the LCM of the given numbers is 2 x 2 x 11 x 67 x 31 x 12 = 1096656

Least Common Multiple of 44,67,31,48 with GCF Formula

Least Common Multiple of 44,67,31,48 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 44,67,31,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,67,31,48) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,67,31,48) x common factors =1 x 4 = 4

LCM(44,67,31,48) = ( 44 × 67 × 31 × 48 ) / 4

LCM(44,67,31,48) = 4386624 / 4

LCM(44,67,31,48) = 1096656


Lets's calculate GCF of 44,61,97,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096656/1

Therefore the LCM of Fractions 44/44,67/61,31/97,48/625 is 1096656

Greatest Common Factor of 44,61,97,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,61,97,625 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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 44,61,97,625 . The biggest common factor number is the GCF number.
So the greatest common factor 44,61,97,625 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/44, 67/61, 31/97, 48/625

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 44/44, 67/61, 31/97, 48/625?

Answer: LCM of Numerators as per given numbers 44/44, 67/61, 31/97, 48/625 is

LCM of Numerators i.e. for 44,67,31,48 is 1096656

GCF of denominators i.e. for 44,61,97,625 is 1.

Thus, LCM of Fractions is 1096656.Finally, LCM of Fractions for 44/44, 67/61, 31/97, 48/625 is 1096656.