Least Common Multiple of 749/609, 5363/4732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/609, 5363/4732 quickly i.e. 573841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/609, 5363/4732 is 573841.

LCM(749/609, 5363/4732) = 573841

LCM of 749/609, 5363/4732

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 749/609,5363/4732

Given numbers are 749/609,5363/4732

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 749,5363

Least Common Multiple of Numerators i.e. LCM of 749,5363 is 4016887.

GCF of Denominators means GCF of 609,4732 as per the given fractions.

GCF of 609,4732 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,5363

LCM of Fractions 749/609,5363/4732 is 573841

Given numbers has no common factors except 1. So, there LCM is their product i.e 4016887

Least Common Multiple of 749,5363 with GCF Formula

Least Common Multiple of 749,5363 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 749,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,5363) = 1

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

GCF(749,5363) x common factors =1 x 1 = 1

LCM(749,5363) = ( 749 × 5363 ) / 1

LCM(749,5363) = 4016887 / 1

LCM(749,5363) = 4016887


Lets's calculate GCF of 609,4732

7 609, 4732
87, 676

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4016887/7

Therefore the LCM of Fractions 749/609,5363/4732 is 573841

Greatest Common Factor of 609,4732 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,4732 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Greatest Common Factor

We found the factors 609,4732 . The biggest common factor number is the GCF number.
So the greatest common factor 609,4732 is 7.


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 749/609, 5363/4732

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 749/609, 5363/4732?

Answer: LCM of Numerators as per given numbers 749/609, 5363/4732 is

LCM of Numerators i.e. for 749,5363 is 4016887

GCF of denominators i.e. for 609,4732 is 7.

Thus, LCM of Fractions is 573841.Finally, LCM of Fractions for 749/609, 5363/4732 is 573841.