Least Common Multiple of 44/902, 501/116, 590/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/902, 501/116, 590/360 quickly i.e. 3251490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/902, 501/116, 590/360 is 3251490.

LCM(44/902, 501/116, 590/360) = 3251490

LCM of 44/902, 501/116, 590/360

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 44/902,501/116,590/360

Given numbers are 44/902,501/116,590/360

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 44,501,590

Least Common Multiple of Numerators i.e. LCM of 44,501,590 is 6502980.

GCF of Denominators means GCF of 902,116,360 as per the given fractions.

GCF of 902,116,360 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,501,590

LCM of Fractions 44/902,501/116,590/360 is 3251490

2 44, 501, 590
22, 501, 295

∴ So the LCM of the given numbers is 2 x 22 x 501 x 295 = 6502980

Least Common Multiple of 44,501,590 with GCF Formula

Least Common Multiple of 44,501,590 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 44,501,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,501,590) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,501,590) x common factors =1 x 2 = 2

LCM(44,501,590) = ( 44 × 501 × 590 ) / 2

LCM(44,501,590) = 13005960 / 2

LCM(44,501,590) = 6502980


Lets's calculate GCF of 902,116,360

2 902, 116, 360
451, 58, 180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6502980/2

Therefore the LCM of Fractions 44/902,501/116,590/360 is 3251490

Greatest Common Factor of 902,116,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,116,360 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 902,116,360 . The biggest common factor number is the GCF number.
So the greatest common factor 902,116,360 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 44/902, 501/116, 590/360

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 44/902, 501/116, 590/360?

Answer: LCM of Numerators as per given numbers 44/902, 501/116, 590/360 is

LCM of Numerators i.e. for 44,501,590 is 6502980

GCF of denominators i.e. for 902,116,360 is 2.

Thus, LCM of Fractions is 3251490.Finally, LCM of Fractions for 44/902, 501/116, 590/360 is 3251490.