Least Common Multiple of 40/318, 784/943, 336/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/318, 784/943, 336/214 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/318, 784/943, 336/214 is 11760.

LCM(40/318, 784/943, 336/214) = 11760

LCM of 40/318, 784/943, 336/214

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 40/318,784/943,336/214

Given numbers are 40/318,784/943,336/214

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 40,784,336

Least Common Multiple of Numerators i.e. LCM of 40,784,336 is 11760.

GCF of Denominators means GCF of 318,943,214 as per the given fractions.

GCF of 318,943,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,784,336

LCM of Fractions 40/318,784/943,336/214 is 11760

2 40, 784, 336
2 20, 392, 168
2 10, 196, 84
2 5, 98, 42
7 5, 49, 21
5, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 5 x 7 x 3 = 11760

Least Common Multiple of 40,784,336 with GCF Formula

Least Common Multiple of 40,784,336 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 40,784,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,784,336) = 8

common factors(in case of two or more numbers have common factors) = 112

GCF(40,784,336) x common factors =8 x 112 = 896

LCM(40,784,336) = ( 40 × 784 × 336 ) / 896

LCM(40,784,336) = 10536960 / 896

LCM(40,784,336) = 11760


Lets's calculate GCF of 318,943,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1

Therefore the LCM of Fractions 40/318,784/943,336/214 is 11760

Greatest Common Factor of 318,943,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,943,214 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 318,943,214 . The biggest common factor number is the GCF number.
So the greatest common factor 318,943,214 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 40/318, 784/943, 336/214

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 40/318, 784/943, 336/214?

Answer: LCM of Numerators as per given numbers 40/318, 784/943, 336/214 is

LCM of Numerators i.e. for 40,784,336 is 11760

GCF of denominators i.e. for 318,943,214 is 1.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 40/318, 784/943, 336/214 is 11760.