Least Common Multiple of 140/583, 664/950, 299/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/583, 664/950, 299/618 quickly i.e. 6948760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/583, 664/950, 299/618 is 6948760.

LCM(140/583, 664/950, 299/618) = 6948760

LCM of 140/583, 664/950, 299/618

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 140/583,664/950,299/618

Given numbers are 140/583,664/950,299/618

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 140,664,299

Least Common Multiple of Numerators i.e. LCM of 140,664,299 is 6948760.

GCF of Denominators means GCF of 583,950,618 as per the given fractions.

GCF of 583,950,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,664,299

LCM of Fractions 140/583,664/950,299/618 is 6948760

2 140, 664, 299
2 70, 332, 299
35, 166, 299

∴ So the LCM of the given numbers is 2 x 2 x 35 x 166 x 299 = 6948760

Least Common Multiple of 140,664,299 with GCF Formula

Least Common Multiple of 140,664,299 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 140,664,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,664,299) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(140,664,299) x common factors =1 x 4 = 4

LCM(140,664,299) = ( 140 × 664 × 299 ) / 4

LCM(140,664,299) = 27795040 / 4

LCM(140,664,299) = 6948760


Lets's calculate GCF of 583,950,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6948760/1

Therefore the LCM of Fractions 140/583,664/950,299/618 is 6948760

Greatest Common Factor of 583,950,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,950,618 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 583,950,618 . The biggest common factor number is the GCF number.
So the greatest common factor 583,950,618 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 140/583, 664/950, 299/618

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 140/583, 664/950, 299/618?

Answer: LCM of Numerators as per given numbers 140/583, 664/950, 299/618 is

LCM of Numerators i.e. for 140,664,299 is 6948760

GCF of denominators i.e. for 583,950,618 is 1.

Thus, LCM of Fractions is 6948760.Finally, LCM of Fractions for 140/583, 664/950, 299/618 is 6948760.