Least Common Multiple of 44/90, 668/56, 849/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/90, 668/56, 849/972 quickly i.e. 3119226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/90, 668/56, 849/972 is 3119226.

LCM(44/90, 668/56, 849/972) = 3119226

LCM of 44/90, 668/56, 849/972

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 44/90,668/56,849/972

Given numbers are 44/90,668/56,849/972

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 44,668,849

Least Common Multiple of Numerators i.e. LCM of 44,668,849 is 6238452.

GCF of Denominators means GCF of 90,56,972 as per the given fractions.

GCF of 90,56,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,668,849

LCM of Fractions 44/90,668/56,849/972 is 3119226

2 44, 668, 849
2 22, 334, 849
11, 167, 849

∴ So the LCM of the given numbers is 2 x 2 x 11 x 167 x 849 = 6238452

Least Common Multiple of 44,668,849 with GCF Formula

Least Common Multiple of 44,668,849 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 44,668,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,668,849) = 1

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

GCF(44,668,849) x common factors =1 x 4 = 4

LCM(44,668,849) = ( 44 × 668 × 849 ) / 4

LCM(44,668,849) = 24953808 / 4

LCM(44,668,849) = 6238452


Lets's calculate GCF of 90,56,972

2 90, 56, 972
45, 28, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6238452/2

Therefore the LCM of Fractions 44/90,668/56,849/972 is 3119226

Greatest Common Factor of 90,56,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,56,972 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

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

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 90,56,972 . The biggest common factor number is the GCF number.
So the greatest common factor 90,56,972 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 44/90, 668/56, 849/972

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 44/90, 668/56, 849/972?

Answer: LCM of Numerators as per given numbers 44/90, 668/56, 849/972 is

LCM of Numerators i.e. for 44,668,849 is 6238452

GCF of denominators i.e. for 90,56,972 is 2.

Thus, LCM of Fractions is 3119226.Finally, LCM of Fractions for 44/90, 668/56, 849/972 is 3119226.