Least Common Multiple of 407/981, 919/359, 272/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/981, 919/359, 272/689 quickly i.e. 101736976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/981, 919/359, 272/689 is 101736976.

LCM(407/981, 919/359, 272/689) = 101736976

LCM of 407/981, 919/359, 272/689

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 407/981,919/359,272/689

Given numbers are 407/981,919/359,272/689

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 407,919,272

Least Common Multiple of Numerators i.e. LCM of 407,919,272 is 101736976.

GCF of Denominators means GCF of 981,359,689 as per the given fractions.

GCF of 981,359,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,919,272

LCM of Fractions 407/981,919/359,272/689 is 101736976

Given numbers has no common factors except 1. So, there LCM is their product i.e 101736976

Least Common Multiple of 407,919,272 with GCF Formula

Least Common Multiple of 407,919,272 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 407,919,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,919,272) = 1

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

GCF(407,919,272) x common factors =1 x 1 = 1

LCM(407,919,272) = ( 407 × 919 × 272 ) / 1

LCM(407,919,272) = 101736976 / 1

LCM(407,919,272) = 101736976


Lets's calculate GCF of 981,359,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101736976/1

Therefore the LCM of Fractions 407/981,919/359,272/689 is 101736976

Greatest Common Factor of 981,359,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,359,689 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 981,359,689 . The biggest common factor number is the GCF number.
So the greatest common factor 981,359,689 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 407/981, 919/359, 272/689

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 407/981, 919/359, 272/689?

Answer: LCM of Numerators as per given numbers 407/981, 919/359, 272/689 is

LCM of Numerators i.e. for 407,919,272 is 101736976

GCF of denominators i.e. for 981,359,689 is 1.

Thus, LCM of Fractions is 101736976.Finally, LCM of Fractions for 407/981, 919/359, 272/689 is 101736976.