Least Common Multiple of 749/81, 321/41, 451/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/81, 321/41, 451/641 quickly i.e. 1013397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/81, 321/41, 451/641 is 1013397.

LCM(749/81, 321/41, 451/641) = 1013397

LCM of 749/81, 321/41, 451/641

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 749/81,321/41,451/641

Given numbers are 749/81,321/41,451/641

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 749,321,451

Least Common Multiple of Numerators i.e. LCM of 749,321,451 is 1013397.

GCF of Denominators means GCF of 81,41,641 as per the given fractions.

GCF of 81,41,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,321,451

LCM of Fractions 749/81,321/41,451/641 is 1013397

107 749, 321, 451
7, 3, 451

∴ So the LCM of the given numbers is 107 x 7 x 3 x 451 = 1013397

Least Common Multiple of 749,321,451 with GCF Formula

Least Common Multiple of 749,321,451 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 749,321,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,321,451) = 1

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

GCF(749,321,451) x common factors =1 x 107 = 107

LCM(749,321,451) = ( 749 × 321 × 451 ) / 107

LCM(749,321,451) = 108433479 / 107

LCM(749,321,451) = 1013397


Lets's calculate GCF of 81,41,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013397/1

Therefore the LCM of Fractions 749/81,321/41,451/641 is 1013397

Greatest Common Factor of 81,41,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,41,641 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 41

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

1,41

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 81,41,641 . The biggest common factor number is the GCF number.
So the greatest common factor 81,41,641 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 749/81, 321/41, 451/641

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 749/81, 321/41, 451/641?

Answer: LCM of Numerators as per given numbers 749/81, 321/41, 451/641 is

LCM of Numerators i.e. for 749,321,451 is 1013397

GCF of denominators i.e. for 81,41,641 is 1.

Thus, LCM of Fractions is 1013397.Finally, LCM of Fractions for 749/81, 321/41, 451/641 is 1013397.