Least Common Multiple of 279/967, 4411/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 279/967, 4411/714 quickly i.e. 1230669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/967, 4411/714 is 1230669.

LCM(279/967, 4411/714) = 1230669

LCM of 279/967, 4411/714

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 279/967,4411/714

Given numbers are 279/967,4411/714

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 279,4411

Least Common Multiple of Numerators i.e. LCM of 279,4411 is 1230669.

GCF of Denominators means GCF of 967,714 as per the given fractions.

GCF of 967,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,4411

LCM of Fractions 279/967,4411/714 is 1230669

Given numbers has no common factors except 1. So, there LCM is their product i.e 1230669

Least Common Multiple of 279,4411 with GCF Formula

Least Common Multiple of 279,4411 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 279,4411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,4411) = 1

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

GCF(279,4411) x common factors =1 x 1 = 1

LCM(279,4411) = ( 279 × 4411 ) / 1

LCM(279,4411) = 1230669 / 1

LCM(279,4411) = 1230669


Lets's calculate GCF of 967,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230669/1

Therefore the LCM of Fractions 279/967,4411/714 is 1230669

Greatest Common Factor of 967,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,714 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 967,714 . The biggest common factor number is the GCF number.
So the greatest common factor 967,714 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 279/967, 4411/714

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 279/967, 4411/714?

Answer: LCM of Numerators as per given numbers 279/967, 4411/714 is

LCM of Numerators i.e. for 279,4411 is 1230669

GCF of denominators i.e. for 967,714 is 1.

Thus, LCM of Fractions is 1230669.Finally, LCM of Fractions for 279/967, 4411/714 is 1230669.