Least Common Multiple of 861/249, 574/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/249, 574/592 quickly i.e. 1722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/249, 574/592 is 1722.

LCM(861/249, 574/592) = 1722

LCM of 861/249, 574/592

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 861/249,574/592

Given numbers are 861/249,574/592

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 861,574

Least Common Multiple of Numerators i.e. LCM of 861,574 is 1722.

GCF of Denominators means GCF of 249,592 as per the given fractions.

GCF of 249,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,574

LCM of Fractions 861/249,574/592 is 1722

7 861, 574
41 123, 82
3, 2

∴ So the LCM of the given numbers is 7 x 41 x 3 x 2 = 1722

Least Common Multiple of 861,574 with GCF Formula

Least Common Multiple of 861,574 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 861,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,574) = 287

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

GCF(861,574) x common factors =287 x 1 = 287

LCM(861,574) = ( 861 × 574 ) / 287

LCM(861,574) = 494214 / 287

LCM(861,574) = 1722


Lets's calculate GCF of 249,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1722/1

Therefore the LCM of Fractions 861/249,574/592 is 1722

Greatest Common Factor of 249,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,592 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 249,592 . The biggest common factor number is the GCF number.
So the greatest common factor 249,592 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 861/249, 574/592

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 861/249, 574/592?

Answer: LCM of Numerators as per given numbers 861/249, 574/592 is

LCM of Numerators i.e. for 861,574 is 1722

GCF of denominators i.e. for 249,592 is 1.

Thus, LCM of Fractions is 1722.Finally, LCM of Fractions for 861/249, 574/592 is 1722.