Least Common Multiple of 3542/533, 5514/5417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3542/533, 5514/5417 quickly i.e. 9765294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3542/533, 5514/5417 is 9765294.

LCM(3542/533, 5514/5417) = 9765294

LCM of 3542/533, 5514/5417

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 3542/533,5514/5417

Given numbers are 3542/533,5514/5417

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 3542,5514

Least Common Multiple of Numerators i.e. LCM of 3542,5514 is 9765294.

GCF of Denominators means GCF of 533,5417 as per the given fractions.

GCF of 533,5417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3542,5514

LCM of Fractions 3542/533,5514/5417 is 9765294

2 3542, 5514
1771, 2757

∴ So the LCM of the given numbers is 2 x 1771 x 2757 = 9765294

Least Common Multiple of 3542,5514 with GCF Formula

Least Common Multiple of 3542,5514 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 3542,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3542,5514) = 2

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

GCF(3542,5514) x common factors =2 x 1 = 2

LCM(3542,5514) = ( 3542 × 5514 ) / 2

LCM(3542,5514) = 19530588 / 2

LCM(3542,5514) = 9765294


Lets's calculate GCF of 533,5417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9765294/1

Therefore the LCM of Fractions 3542/533,5514/5417 is 9765294

Greatest Common Factor of 533,5417 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,5417 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 5417

List of positive integer factors of 5417 that divides 5417 without a remainder.

1,5417

Greatest Common Factor

We found the factors 533,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 533,5417 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 3542/533, 5514/5417

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 3542/533, 5514/5417?

Answer: LCM of Numerators as per given numbers 3542/533, 5514/5417 is

LCM of Numerators i.e. for 3542,5514 is 9765294

GCF of denominators i.e. for 533,5417 is 1.

Thus, LCM of Fractions is 9765294.Finally, LCM of Fractions for 3542/533, 5514/5417 is 9765294.