Least Common Multiple of 37/574, 2692/5210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/574, 2692/5210 quickly i.e. 49802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/574, 2692/5210 is 49802.

LCM(37/574, 2692/5210) = 49802

LCM of 37/574, 2692/5210

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 37/574,2692/5210

Given numbers are 37/574,2692/5210

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 37,2692

Least Common Multiple of Numerators i.e. LCM of 37,2692 is 99604.

GCF of Denominators means GCF of 574,5210 as per the given fractions.

GCF of 574,5210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,2692

LCM of Fractions 37/574,2692/5210 is 49802

Given numbers has no common factors except 1. So, there LCM is their product i.e 99604

Least Common Multiple of 37,2692 with GCF Formula

Least Common Multiple of 37,2692 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 37,2692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,2692) = 1

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

GCF(37,2692) x common factors =1 x 1 = 1

LCM(37,2692) = ( 37 × 2692 ) / 1

LCM(37,2692) = 99604 / 1

LCM(37,2692) = 99604


Lets's calculate GCF of 574,5210

2 574, 5210
287, 2605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99604/2

Therefore the LCM of Fractions 37/574,2692/5210 is 49802

Greatest Common Factor of 574,5210 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,5210 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 574,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 574,5210 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 37/574, 2692/5210

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 37/574, 2692/5210?

Answer: LCM of Numerators as per given numbers 37/574, 2692/5210 is

LCM of Numerators i.e. for 37,2692 is 99604

GCF of denominators i.e. for 574,5210 is 2.

Thus, LCM of Fractions is 49802.Finally, LCM of Fractions for 37/574, 2692/5210 is 49802.