Least Common Multiple of 434/782, 984/410, 460/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/782, 984/410, 460/537 quickly i.e. 24555720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/782, 984/410, 460/537 is 24555720.

LCM(434/782, 984/410, 460/537) = 24555720

LCM of 434/782, 984/410, 460/537

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 434/782,984/410,460/537

Given numbers are 434/782,984/410,460/537

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 434,984,460

Least Common Multiple of Numerators i.e. LCM of 434,984,460 is 24555720.

GCF of Denominators means GCF of 782,410,537 as per the given fractions.

GCF of 782,410,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,984,460

LCM of Fractions 434/782,984/410,460/537 is 24555720

2 434, 984, 460
2 217, 492, 230
217, 246, 115

∴ So the LCM of the given numbers is 2 x 2 x 217 x 246 x 115 = 24555720

Least Common Multiple of 434,984,460 with GCF Formula

Least Common Multiple of 434,984,460 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 434,984,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,984,460) = 2

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

GCF(434,984,460) x common factors =2 x 4 = 8

LCM(434,984,460) = ( 434 × 984 × 460 ) / 8

LCM(434,984,460) = 196445760 / 8

LCM(434,984,460) = 24555720


Lets's calculate GCF of 782,410,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24555720/1

Therefore the LCM of Fractions 434/782,984/410,460/537 is 24555720

Greatest Common Factor of 782,410,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,410,537 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 782,410,537 . The biggest common factor number is the GCF number.
So the greatest common factor 782,410,537 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 434/782, 984/410, 460/537

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 434/782, 984/410, 460/537?

Answer: LCM of Numerators as per given numbers 434/782, 984/410, 460/537 is

LCM of Numerators i.e. for 434,984,460 is 24555720

GCF of denominators i.e. for 782,410,537 is 1.

Thus, LCM of Fractions is 24555720.Finally, LCM of Fractions for 434/782, 984/410, 460/537 is 24555720.