Least Common Multiple of 733/41, 749/63, 107/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/41, 749/63, 107/61 quickly i.e. 549017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/41, 749/63, 107/61 is 549017.

LCM(733/41, 749/63, 107/61) = 549017

LCM of 733/41, 749/63, 107/61

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 733/41,749/63,107/61

Given numbers are 733/41,749/63,107/61

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 733,749,107

Least Common Multiple of Numerators i.e. LCM of 733,749,107 is 549017.

GCF of Denominators means GCF of 41,63,61 as per the given fractions.

GCF of 41,63,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,749,107

LCM of Fractions 733/41,749/63,107/61 is 549017

107 733, 749, 107
733, 7, 1

∴ So the LCM of the given numbers is 107 x 733 x 7 x 1 = 549017

Least Common Multiple of 733,749,107 with GCF Formula

Least Common Multiple of 733,749,107 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 733,749,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,749,107) = 1

common factors(in case of two or more numbers have common factors) = 107

GCF(733,749,107) x common factors =1 x 107 = 107

LCM(733,749,107) = ( 733 × 749 × 107 ) / 107

LCM(733,749,107) = 58744819 / 107

LCM(733,749,107) = 549017


Lets's calculate GCF of 41,63,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549017/1

Therefore the LCM of Fractions 733/41,749/63,107/61 is 549017

Greatest Common Factor of 41,63,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,63,61 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 41,63,61 . The biggest common factor number is the GCF number.
So the greatest common factor 41,63,61 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 733/41, 749/63, 107/61

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 733/41, 749/63, 107/61?

Answer: LCM of Numerators as per given numbers 733/41, 749/63, 107/61 is

LCM of Numerators i.e. for 733,749,107 is 549017

GCF of denominators i.e. for 41,63,61 is 1.

Thus, LCM of Fractions is 549017.Finally, LCM of Fractions for 733/41, 749/63, 107/61 is 549017.