Least Common Multiple of 37/232, 989/580, 738/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/232, 989/580, 738/900 quickly i.e. 27005634/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/232, 989/580, 738/900 is 27005634/4.

LCM(37/232, 989/580, 738/900) = 27005634/4

LCM of 37/232, 989/580, 738/900

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 37/232,989/580,738/900

Given numbers are 37/232,989/580,738/900

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 37,989,738

Least Common Multiple of Numerators i.e. LCM of 37,989,738 is 27005634.

GCF of Denominators means GCF of 232,580,900 as per the given fractions.

GCF of 232,580,900 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,989,738

LCM of Fractions 37/232,989/580,738/900 is 27005634/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 27005634

Least Common Multiple of 37,989,738 with GCF Formula

Least Common Multiple of 37,989,738 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 37,989,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,989,738) = 1

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

GCF(37,989,738) x common factors =1 x 1 = 1

LCM(37,989,738) = ( 37 × 989 × 738 ) / 1

LCM(37,989,738) = 27005634 / 1

LCM(37,989,738) = 27005634


Lets's calculate GCF of 232,580,900

2 232, 580, 900
2 116, 290, 450
58, 145, 225

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27005634/4

Therefore the LCM of Fractions 37/232,989/580,738/900 is 27005634/4

Greatest Common Factor of 232,580,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,580,900 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 232,580,900 . The biggest common factor number is the GCF number.
So the greatest common factor 232,580,900 is 4.


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 37/232, 989/580, 738/900

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 37/232, 989/580, 738/900?

Answer: LCM of Numerators as per given numbers 37/232, 989/580, 738/900 is

LCM of Numerators i.e. for 37,989,738 is 27005634

GCF of denominators i.e. for 232,580,900 is 4.

Thus, LCM of Fractions is 27005634/4.Finally, LCM of Fractions for 37/232, 989/580, 738/900 is 27005634/4.