Least Common Multiple of 840/287, 216/658, 474/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/287, 216/658, 474/399 quickly i.e. 85320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/287, 216/658, 474/399 is 85320.

LCM(840/287, 216/658, 474/399) = 85320

LCM of 840/287, 216/658, 474/399

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 840/287,216/658,474/399

Given numbers are 840/287,216/658,474/399

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 840,216,474

Least Common Multiple of Numerators i.e. LCM of 840,216,474 is 597240.

GCF of Denominators means GCF of 287,658,399 as per the given fractions.

GCF of 287,658,399 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,216,474

LCM of Fractions 840/287,216/658,474/399 is 85320

2 840, 216, 474
2 420, 108, 237
2 210, 54, 237
3 105, 27, 237
35, 9, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 9 x 79 = 597240

Least Common Multiple of 840,216,474 with GCF Formula

Least Common Multiple of 840,216,474 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 840,216,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,216,474) = 6

common factors(in case of two or more numbers have common factors) = 24

GCF(840,216,474) x common factors =6 x 24 = 144

LCM(840,216,474) = ( 840 × 216 × 474 ) / 144

LCM(840,216,474) = 86002560 / 144

LCM(840,216,474) = 597240


Lets's calculate GCF of 287,658,399

7 287, 658, 399
41, 94, 57

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597240/7

Therefore the LCM of Fractions 840/287,216/658,474/399 is 85320

Greatest Common Factor of 287,658,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,658,399 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 287,658,399 . The biggest common factor number is the GCF number.
So the greatest common factor 287,658,399 is 7.


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 840/287, 216/658, 474/399

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 840/287, 216/658, 474/399?

Answer: LCM of Numerators as per given numbers 840/287, 216/658, 474/399 is

LCM of Numerators i.e. for 840,216,474 is 597240

GCF of denominators i.e. for 287,658,399 is 7.

Thus, LCM of Fractions is 85320.Finally, LCM of Fractions for 840/287, 216/658, 474/399 is 85320.