Least Common Multiple of 619/745, 740/225, 862/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 619/745, 740/225, 862/539 quickly i.e. 197423860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 619/745, 740/225, 862/539 is 197423860.

LCM(619/745, 740/225, 862/539) = 197423860

LCM of 619/745, 740/225, 862/539

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 619/745,740/225,862/539

Given numbers are 619/745,740/225,862/539

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 619,740,862

Least Common Multiple of Numerators i.e. LCM of 619,740,862 is 197423860.

GCF of Denominators means GCF of 745,225,539 as per the given fractions.

GCF of 745,225,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 619,740,862

LCM of Fractions 619/745,740/225,862/539 is 197423860

2 619, 740, 862
619, 370, 431

∴ So the LCM of the given numbers is 2 x 619 x 370 x 431 = 197423860

Least Common Multiple of 619,740,862 with GCF Formula

Least Common Multiple of 619,740,862 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 619,740,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,740,862) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(619,740,862) x common factors =1 x 2 = 2

LCM(619,740,862) = ( 619 × 740 × 862 ) / 2

LCM(619,740,862) = 394847720 / 2

LCM(619,740,862) = 197423860


Lets's calculate GCF of 745,225,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197423860/1

Therefore the LCM of Fractions 619/745,740/225,862/539 is 197423860

Greatest Common Factor of 745,225,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,225,539 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 745,225,539 . The biggest common factor number is the GCF number.
So the greatest common factor 745,225,539 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 619/745, 740/225, 862/539

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 619/745, 740/225, 862/539?

Answer: LCM of Numerators as per given numbers 619/745, 740/225, 862/539 is

LCM of Numerators i.e. for 619,740,862 is 197423860

GCF of denominators i.e. for 745,225,539 is 1.

Thus, LCM of Fractions is 197423860.Finally, LCM of Fractions for 619/745, 740/225, 862/539 is 197423860.