Least Common Multiple of 506/840, 267/728, 396/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/840, 267/728, 396/257 quickly i.e. 810612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/840, 267/728, 396/257 is 810612.

LCM(506/840, 267/728, 396/257) = 810612

LCM of 506/840, 267/728, 396/257

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 506/840,267/728,396/257

Given numbers are 506/840,267/728,396/257

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 506,267,396

Least Common Multiple of Numerators i.e. LCM of 506,267,396 is 810612.

GCF of Denominators means GCF of 840,728,257 as per the given fractions.

GCF of 840,728,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,267,396

LCM of Fractions 506/840,267/728,396/257 is 810612

2 506, 267, 396
3 253, 267, 198
11 253, 89, 66
23, 89, 6

∴ So the LCM of the given numbers is 2 x 3 x 11 x 23 x 89 x 6 = 810612

Least Common Multiple of 506,267,396 with GCF Formula

Least Common Multiple of 506,267,396 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 506,267,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,267,396) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(506,267,396) x common factors =1 x 66 = 66

LCM(506,267,396) = ( 506 × 267 × 396 ) / 66

LCM(506,267,396) = 53500392 / 66

LCM(506,267,396) = 810612


Lets's calculate GCF of 840,728,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810612/1

Therefore the LCM of Fractions 506/840,267/728,396/257 is 810612

Greatest Common Factor of 840,728,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,728,257 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 840,728,257 . The biggest common factor number is the GCF number.
So the greatest common factor 840,728,257 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 506/840, 267/728, 396/257

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 506/840, 267/728, 396/257?

Answer: LCM of Numerators as per given numbers 506/840, 267/728, 396/257 is

LCM of Numerators i.e. for 506,267,396 is 810612

GCF of denominators i.e. for 840,728,257 is 1.

Thus, LCM of Fractions is 810612.Finally, LCM of Fractions for 506/840, 267/728, 396/257 is 810612.