Least Common Multiple of 354/81, 981/10, 267/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/81, 981/10, 267/350 quickly i.e. 10302462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/81, 981/10, 267/350 is 10302462.

LCM(354/81, 981/10, 267/350) = 10302462

LCM of 354/81, 981/10, 267/350

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 354/81,981/10,267/350

Given numbers are 354/81,981/10,267/350

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 354,981,267

Least Common Multiple of Numerators i.e. LCM of 354,981,267 is 10302462.

GCF of Denominators means GCF of 81,10,350 as per the given fractions.

GCF of 81,10,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,981,267

LCM of Fractions 354/81,981/10,267/350 is 10302462

3 354, 981, 267
118, 327, 89

∴ So the LCM of the given numbers is 3 x 118 x 327 x 89 = 10302462

Least Common Multiple of 354,981,267 with GCF Formula

Least Common Multiple of 354,981,267 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 354,981,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,981,267) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(354,981,267) x common factors =3 x 3 = 9

LCM(354,981,267) = ( 354 × 981 × 267 ) / 9

LCM(354,981,267) = 92722158 / 9

LCM(354,981,267) = 10302462


Lets's calculate GCF of 81,10,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10302462/1

Therefore the LCM of Fractions 354/81,981/10,267/350 is 10302462

Greatest Common Factor of 81,10,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,10,350 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 81,10,350 . The biggest common factor number is the GCF number.
So the greatest common factor 81,10,350 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 354/81, 981/10, 267/350

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 354/81, 981/10, 267/350?

Answer: LCM of Numerators as per given numbers 354/81, 981/10, 267/350 is

LCM of Numerators i.e. for 354,981,267 is 10302462

GCF of denominators i.e. for 81,10,350 is 1.

Thus, LCM of Fractions is 10302462.Finally, LCM of Fractions for 354/81, 981/10, 267/350 is 10302462.