Least Common Multiple of 534/202, 4748/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 534/202, 4748/300 quickly i.e. 633858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/202, 4748/300 is 633858.

LCM(534/202, 4748/300) = 633858

LCM of 534/202, 4748/300

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 534/202,4748/300

Given numbers are 534/202,4748/300

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 534,4748

Least Common Multiple of Numerators i.e. LCM of 534,4748 is 1267716.

GCF of Denominators means GCF of 202,300 as per the given fractions.

GCF of 202,300 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,4748

LCM of Fractions 534/202,4748/300 is 633858

2 534, 4748
267, 2374

∴ So the LCM of the given numbers is 2 x 267 x 2374 = 1267716

Least Common Multiple of 534,4748 with GCF Formula

Least Common Multiple of 534,4748 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 534,4748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,4748) = 2

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

GCF(534,4748) x common factors =2 x 1 = 2

LCM(534,4748) = ( 534 × 4748 ) / 2

LCM(534,4748) = 2535432 / 2

LCM(534,4748) = 1267716


Lets's calculate GCF of 202,300

2 202, 300
101, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1267716/2

Therefore the LCM of Fractions 534/202,4748/300 is 633858

Greatest Common Factor of 202,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,300 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 202,300 . The biggest common factor number is the GCF number.
So the greatest common factor 202,300 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 534/202, 4748/300

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 534/202, 4748/300?

Answer: LCM of Numerators as per given numbers 534/202, 4748/300 is

LCM of Numerators i.e. for 534,4748 is 1267716

GCF of denominators i.e. for 202,300 is 2.

Thus, LCM of Fractions is 633858.Finally, LCM of Fractions for 534/202, 4748/300 is 633858.