Least Common Multiple of 37/286, 49/225, 692/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/286, 49/225, 692/638 quickly i.e. 1254596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/286, 49/225, 692/638 is 1254596.

LCM(37/286, 49/225, 692/638) = 1254596

LCM of 37/286, 49/225, 692/638

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 37/286,49/225,692/638

Given numbers are 37/286,49/225,692/638

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 37,49,692

Least Common Multiple of Numerators i.e. LCM of 37,49,692 is 1254596.

GCF of Denominators means GCF of 286,225,638 as per the given fractions.

GCF of 286,225,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,49,692

LCM of Fractions 37/286,49/225,692/638 is 1254596

Given numbers has no common factors except 1. So, there LCM is their product i.e 1254596

Least Common Multiple of 37,49,692 with GCF Formula

Least Common Multiple of 37,49,692 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 37,49,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,49,692) = 1

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

GCF(37,49,692) x common factors =1 x 1 = 1

LCM(37,49,692) = ( 37 × 49 × 692 ) / 1

LCM(37,49,692) = 1254596 / 1

LCM(37,49,692) = 1254596


Lets's calculate GCF of 286,225,638

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254596/1

Therefore the LCM of Fractions 37/286,49/225,692/638 is 1254596

Greatest Common Factor of 286,225,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,225,638 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 286,225,638 . The biggest common factor number is the GCF number.
So the greatest common factor 286,225,638 is 1.


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 37/286, 49/225, 692/638

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 37/286, 49/225, 692/638?

Answer: LCM of Numerators as per given numbers 37/286, 49/225, 692/638 is

LCM of Numerators i.e. for 37,49,692 is 1254596

GCF of denominators i.e. for 286,225,638 is 1.

Thus, LCM of Fractions is 1254596.Finally, LCM of Fractions for 37/286, 49/225, 692/638 is 1254596.