Least Common Multiple of 600/748, 841/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 600/748, 841/530 quickly i.e. 252300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/748, 841/530 is 252300.

LCM(600/748, 841/530) = 252300

LCM of 600/748, 841/530

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 600/748,841/530

Given numbers are 600/748,841/530

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 600,841

Least Common Multiple of Numerators i.e. LCM of 600,841 is 504600.

GCF of Denominators means GCF of 748,530 as per the given fractions.

GCF of 748,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,841

LCM of Fractions 600/748,841/530 is 252300

Given numbers has no common factors except 1. So, there LCM is their product i.e 504600

Least Common Multiple of 600,841 with GCF Formula

Least Common Multiple of 600,841 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 600,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,841) = 1

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

GCF(600,841) x common factors =1 x 1 = 1

LCM(600,841) = ( 600 × 841 ) / 1

LCM(600,841) = 504600 / 1

LCM(600,841) = 504600


Lets's calculate GCF of 748,530

2 748, 530
374, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504600/2

Therefore the LCM of Fractions 600/748,841/530 is 252300

Greatest Common Factor of 748,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,530 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 748,530 . The biggest common factor number is the GCF number.
So the greatest common factor 748,530 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 600/748, 841/530

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 600/748, 841/530?

Answer: LCM of Numerators as per given numbers 600/748, 841/530 is

LCM of Numerators i.e. for 600,841 is 504600

GCF of denominators i.e. for 748,530 is 2.

Thus, LCM of Fractions is 252300.Finally, LCM of Fractions for 600/748, 841/530 is 252300.