Least Common Multiple of 741/326, 100/491, 763/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 741/326, 100/491, 763/485 quickly i.e. 56538300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/326, 100/491, 763/485 is 56538300.

LCM(741/326, 100/491, 763/485) = 56538300

LCM of 741/326, 100/491, 763/485

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 741/326,100/491,763/485

Given numbers are 741/326,100/491,763/485

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 741,100,763

Least Common Multiple of Numerators i.e. LCM of 741,100,763 is 56538300.

GCF of Denominators means GCF of 326,491,485 as per the given fractions.

GCF of 326,491,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,100,763

LCM of Fractions 741/326,100/491,763/485 is 56538300

Given numbers has no common factors except 1. So, there LCM is their product i.e 56538300

Least Common Multiple of 741,100,763 with GCF Formula

Least Common Multiple of 741,100,763 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 741,100,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,100,763) = 1

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

GCF(741,100,763) x common factors =1 x 1 = 1

LCM(741,100,763) = ( 741 × 100 × 763 ) / 1

LCM(741,100,763) = 56538300 / 1

LCM(741,100,763) = 56538300


Lets's calculate GCF of 326,491,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56538300/1

Therefore the LCM of Fractions 741/326,100/491,763/485 is 56538300

Greatest Common Factor of 326,491,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,491,485 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 326,491,485 . The biggest common factor number is the GCF number.
So the greatest common factor 326,491,485 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 741/326, 100/491, 763/485

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 741/326, 100/491, 763/485?

Answer: LCM of Numerators as per given numbers 741/326, 100/491, 763/485 is

LCM of Numerators i.e. for 741,100,763 is 56538300

GCF of denominators i.e. for 326,491,485 is 1.

Thus, LCM of Fractions is 56538300.Finally, LCM of Fractions for 741/326, 100/491, 763/485 is 56538300.