Least Common Multiple of 600/961, 3699/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/961, 3699/812 quickly i.e. 739800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/961, 3699/812 is 739800.

LCM(600/961, 3699/812) = 739800

LCM of 600/961, 3699/812

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 600/961,3699/812

Given numbers are 600/961,3699/812

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 600,3699

Least Common Multiple of Numerators i.e. LCM of 600,3699 is 739800.

GCF of Denominators means GCF of 961,812 as per the given fractions.

GCF of 961,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,3699

LCM of Fractions 600/961,3699/812 is 739800

3 600, 3699
200, 1233

∴ So the LCM of the given numbers is 3 x 200 x 1233 = 739800

Least Common Multiple of 600,3699 with GCF Formula

Least Common Multiple of 600,3699 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 600,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,3699) = 3

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

GCF(600,3699) x common factors =3 x 1 = 3

LCM(600,3699) = ( 600 × 3699 ) / 3

LCM(600,3699) = 2219400 / 3

LCM(600,3699) = 739800


Lets's calculate GCF of 961,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739800/1

Therefore the LCM of Fractions 600/961,3699/812 is 739800

Greatest Common Factor of 961,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,812 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 961,812 . The biggest common factor number is the GCF number.
So the greatest common factor 961,812 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 600/961, 3699/812

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 600/961, 3699/812?

Answer: LCM of Numerators as per given numbers 600/961, 3699/812 is

LCM of Numerators i.e. for 600,3699 is 739800

GCF of denominators i.e. for 961,812 is 1.

Thus, LCM of Fractions is 739800.Finally, LCM of Fractions for 600/961, 3699/812 is 739800.