Least Common Multiple of 782/49, 230/62, 427/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/49, 230/62, 427/594 quickly i.e. 1669570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/49, 230/62, 427/594 is 1669570.

LCM(782/49, 230/62, 427/594) = 1669570

LCM of 782/49, 230/62, 427/594

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 782/49,230/62,427/594

Given numbers are 782/49,230/62,427/594

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 782,230,427

Least Common Multiple of Numerators i.e. LCM of 782,230,427 is 1669570.

GCF of Denominators means GCF of 49,62,594 as per the given fractions.

GCF of 49,62,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,230,427

LCM of Fractions 782/49,230/62,427/594 is 1669570

2 782, 230, 427
23 391, 115, 427
17, 5, 427

∴ So the LCM of the given numbers is 2 x 23 x 17 x 5 x 427 = 1669570

Least Common Multiple of 782,230,427 with GCF Formula

Least Common Multiple of 782,230,427 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 782,230,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,230,427) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(782,230,427) x common factors =1 x 46 = 46

LCM(782,230,427) = ( 782 × 230 × 427 ) / 46

LCM(782,230,427) = 76800220 / 46

LCM(782,230,427) = 1669570


Lets's calculate GCF of 49,62,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1669570/1

Therefore the LCM of Fractions 782/49,230/62,427/594 is 1669570

Greatest Common Factor of 49,62,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,62,594 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 49,62,594 . The biggest common factor number is the GCF number.
So the greatest common factor 49,62,594 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 782/49, 230/62, 427/594

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 782/49, 230/62, 427/594?

Answer: LCM of Numerators as per given numbers 782/49, 230/62, 427/594 is

LCM of Numerators i.e. for 782,230,427 is 1669570

GCF of denominators i.e. for 49,62,594 is 1.

Thus, LCM of Fractions is 1669570.Finally, LCM of Fractions for 782/49, 230/62, 427/594 is 1669570.