Least Common Multiple of 814/12, 687/67, 632/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/12, 687/67, 632/494 quickly i.e. 176712888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/12, 687/67, 632/494 is 176712888.

LCM(814/12, 687/67, 632/494) = 176712888

LCM of 814/12, 687/67, 632/494

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 814/12,687/67,632/494

Given numbers are 814/12,687/67,632/494

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 814,687,632

Least Common Multiple of Numerators i.e. LCM of 814,687,632 is 176712888.

GCF of Denominators means GCF of 12,67,494 as per the given fractions.

GCF of 12,67,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,687,632

LCM of Fractions 814/12,687/67,632/494 is 176712888

2 814, 687, 632
407, 687, 316

∴ So the LCM of the given numbers is 2 x 407 x 687 x 316 = 176712888

Least Common Multiple of 814,687,632 with GCF Formula

Least Common Multiple of 814,687,632 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 814,687,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,687,632) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(814,687,632) x common factors =1 x 2 = 2

LCM(814,687,632) = ( 814 × 687 × 632 ) / 2

LCM(814,687,632) = 353425776 / 2

LCM(814,687,632) = 176712888


Lets's calculate GCF of 12,67,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176712888/1

Therefore the LCM of Fractions 814/12,687/67,632/494 is 176712888

Greatest Common Factor of 12,67,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,67,494 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 12,67,494 . The biggest common factor number is the GCF number.
So the greatest common factor 12,67,494 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 814/12, 687/67, 632/494

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 814/12, 687/67, 632/494?

Answer: LCM of Numerators as per given numbers 814/12, 687/67, 632/494 is

LCM of Numerators i.e. for 814,687,632 is 176712888

GCF of denominators i.e. for 12,67,494 is 1.

Thus, LCM of Fractions is 176712888.Finally, LCM of Fractions for 814/12, 687/67, 632/494 is 176712888.