Least Common Multiple of 690/418, 716/640, 831/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/418, 716/640, 831/154 quickly i.e. 34212270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/418, 716/640, 831/154 is 34212270.

LCM(690/418, 716/640, 831/154) = 34212270

LCM of 690/418, 716/640, 831/154

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 690/418,716/640,831/154

Given numbers are 690/418,716/640,831/154

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 690,716,831

Least Common Multiple of Numerators i.e. LCM of 690,716,831 is 68424540.

GCF of Denominators means GCF of 418,640,154 as per the given fractions.

GCF of 418,640,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,716,831

LCM of Fractions 690/418,716/640,831/154 is 34212270

2 690, 716, 831
3 345, 358, 831
115, 358, 277

∴ So the LCM of the given numbers is 2 x 3 x 115 x 358 x 277 = 68424540

Least Common Multiple of 690,716,831 with GCF Formula

Least Common Multiple of 690,716,831 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 690,716,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,716,831) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(690,716,831) x common factors =1 x 6 = 6

LCM(690,716,831) = ( 690 × 716 × 831 ) / 6

LCM(690,716,831) = 410547240 / 6

LCM(690,716,831) = 68424540


Lets's calculate GCF of 418,640,154

2 418, 640, 154
209, 320, 77

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68424540/2

Therefore the LCM of Fractions 690/418,716/640,831/154 is 34212270

Greatest Common Factor of 418,640,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,640,154 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 418,640,154 . The biggest common factor number is the GCF number.
So the greatest common factor 418,640,154 is 2.


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 690/418, 716/640, 831/154

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 690/418, 716/640, 831/154?

Answer: LCM of Numerators as per given numbers 690/418, 716/640, 831/154 is

LCM of Numerators i.e. for 690,716,831 is 68424540

GCF of denominators i.e. for 418,640,154 is 2.

Thus, LCM of Fractions is 34212270.Finally, LCM of Fractions for 690/418, 716/640, 831/154 is 34212270.