Least Common Multiple of 354/648, 5576/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/648, 5576/444 quickly i.e. 82246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/648, 5576/444 is 82246.

LCM(354/648, 5576/444) = 82246

LCM of 354/648, 5576/444

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 354/648,5576/444

Given numbers are 354/648,5576/444

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 354,5576

Least Common Multiple of Numerators i.e. LCM of 354,5576 is 986952.

GCF of Denominators means GCF of 648,444 as per the given fractions.

GCF of 648,444 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,5576

LCM of Fractions 354/648,5576/444 is 82246

2 354, 5576
177, 2788

∴ So the LCM of the given numbers is 2 x 177 x 2788 = 986952

Least Common Multiple of 354,5576 with GCF Formula

Least Common Multiple of 354,5576 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 354,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,5576) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(354,5576) x common factors =2 x 1 = 2

LCM(354,5576) = ( 354 × 5576 ) / 2

LCM(354,5576) = 1973904 / 2

LCM(354,5576) = 986952


Lets's calculate GCF of 648,444

2 648, 444
2 324, 222
3 162, 111
54, 37

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986952/12

Therefore the LCM of Fractions 354/648,5576/444 is 82246

Greatest Common Factor of 648,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,444 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 648,444 . The biggest common factor number is the GCF number.
So the greatest common factor 648,444 is 12.


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 354/648, 5576/444

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 354/648, 5576/444?

Answer: LCM of Numerators as per given numbers 354/648, 5576/444 is

LCM of Numerators i.e. for 354,5576 is 986952

GCF of denominators i.e. for 648,444 is 12.

Thus, LCM of Fractions is 82246.Finally, LCM of Fractions for 354/648, 5576/444 is 82246.