Least Common Multiple of 37/900, 774/382, 293/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/900, 774/382, 293/180 quickly i.e. 4195467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/900, 774/382, 293/180 is 4195467.

LCM(37/900, 774/382, 293/180) = 4195467

LCM of 37/900, 774/382, 293/180

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 37/900,774/382,293/180

Given numbers are 37/900,774/382,293/180

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 37,774,293

Least Common Multiple of Numerators i.e. LCM of 37,774,293 is 8390934.

GCF of Denominators means GCF of 900,382,180 as per the given fractions.

GCF of 900,382,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,774,293

LCM of Fractions 37/900,774/382,293/180 is 4195467

Given numbers has no common factors except 1. So, there LCM is their product i.e 8390934

Least Common Multiple of 37,774,293 with GCF Formula

Least Common Multiple of 37,774,293 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 37,774,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,774,293) = 1

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

GCF(37,774,293) x common factors =1 x 1 = 1

LCM(37,774,293) = ( 37 × 774 × 293 ) / 1

LCM(37,774,293) = 8390934 / 1

LCM(37,774,293) = 8390934


Lets's calculate GCF of 900,382,180

2 900, 382, 180
450, 191, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8390934/2

Therefore the LCM of Fractions 37/900,774/382,293/180 is 4195467

Greatest Common Factor of 900,382,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,382,180 By Matching Biggest Common Factor Method

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

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 900,382,180 . The biggest common factor number is the GCF number.
So the greatest common factor 900,382,180 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 37/900, 774/382, 293/180

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 37/900, 774/382, 293/180?

Answer: LCM of Numerators as per given numbers 37/900, 774/382, 293/180 is

LCM of Numerators i.e. for 37,774,293 is 8390934

GCF of denominators i.e. for 900,382,180 is 2.

Thus, LCM of Fractions is 4195467.Finally, LCM of Fractions for 37/900, 774/382, 293/180 is 4195467.