Least Common Multiple of 45/841, 730/89, 292/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/841, 730/89, 292/328 quickly i.e. 13140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/841, 730/89, 292/328 is 13140.

LCM(45/841, 730/89, 292/328) = 13140

LCM of 45/841, 730/89, 292/328

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 45/841,730/89,292/328

Given numbers are 45/841,730/89,292/328

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 45,730,292

Least Common Multiple of Numerators i.e. LCM of 45,730,292 is 13140.

GCF of Denominators means GCF of 841,89,328 as per the given fractions.

GCF of 841,89,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,730,292

LCM of Fractions 45/841,730/89,292/328 is 13140

2 45, 730, 292
5 45, 365, 146
73 9, 73, 146
9, 1, 2

∴ So the LCM of the given numbers is 2 x 5 x 73 x 9 x 1 x 2 = 13140

Least Common Multiple of 45,730,292 with GCF Formula

Least Common Multiple of 45,730,292 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 45,730,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,730,292) = 1

common factors(in case of two or more numbers have common factors) = 730

GCF(45,730,292) x common factors =1 x 730 = 730

LCM(45,730,292) = ( 45 × 730 × 292 ) / 730

LCM(45,730,292) = 9592200 / 730

LCM(45,730,292) = 13140


Lets's calculate GCF of 841,89,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13140/1

Therefore the LCM of Fractions 45/841,730/89,292/328 is 13140

Greatest Common Factor of 841,89,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,89,328 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 841,89,328 . The biggest common factor number is the GCF number.
So the greatest common factor 841,89,328 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 45/841, 730/89, 292/328

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 45/841, 730/89, 292/328?

Answer: LCM of Numerators as per given numbers 45/841, 730/89, 292/328 is

LCM of Numerators i.e. for 45,730,292 is 13140

GCF of denominators i.e. for 841,89,328 is 1.

Thus, LCM of Fractions is 13140.Finally, LCM of Fractions for 45/841, 730/89, 292/328 is 13140.