Least Common Multiple of 3137/821, 4862/3624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3137/821, 4862/3624 quickly i.e. 15252094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3137/821, 4862/3624 is 15252094.

LCM(3137/821, 4862/3624) = 15252094

LCM of 3137/821, 4862/3624

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 3137/821,4862/3624

Given numbers are 3137/821,4862/3624

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 3137,4862

Least Common Multiple of Numerators i.e. LCM of 3137,4862 is 15252094.

GCF of Denominators means GCF of 821,3624 as per the given fractions.

GCF of 821,3624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3137,4862

LCM of Fractions 3137/821,4862/3624 is 15252094

Given numbers has no common factors except 1. So, there LCM is their product i.e 15252094

Least Common Multiple of 3137,4862 with GCF Formula

Least Common Multiple of 3137,4862 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 3137,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3137,4862) = 1

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

GCF(3137,4862) x common factors =1 x 1 = 1

LCM(3137,4862) = ( 3137 × 4862 ) / 1

LCM(3137,4862) = 15252094 / 1

LCM(3137,4862) = 15252094


Lets's calculate GCF of 821,3624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15252094/1

Therefore the LCM of Fractions 3137/821,4862/3624 is 15252094

Greatest Common Factor of 821,3624 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,3624 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624

Greatest Common Factor

We found the factors 821,3624 . The biggest common factor number is the GCF number.
So the greatest common factor 821,3624 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3137/821, 4862/3624

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 3137/821, 4862/3624?

Answer: LCM of Numerators as per given numbers 3137/821, 4862/3624 is

LCM of Numerators i.e. for 3137,4862 is 15252094

GCF of denominators i.e. for 821,3624 is 1.

Thus, LCM of Fractions is 15252094.Finally, LCM of Fractions for 3137/821, 4862/3624 is 15252094.