Least Common Multiple of 814/742, 430/401, 793/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/742, 430/401, 793/508 quickly i.e. 138782930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/742, 430/401, 793/508 is 138782930.

LCM(814/742, 430/401, 793/508) = 138782930

LCM of 814/742, 430/401, 793/508

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 814/742,430/401,793/508

Given numbers are 814/742,430/401,793/508

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 814,430,793

Least Common Multiple of Numerators i.e. LCM of 814,430,793 is 138782930.

GCF of Denominators means GCF of 742,401,508 as per the given fractions.

GCF of 742,401,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,430,793

LCM of Fractions 814/742,430/401,793/508 is 138782930

2 814, 430, 793
407, 215, 793

∴ So the LCM of the given numbers is 2 x 407 x 215 x 793 = 138782930

Least Common Multiple of 814,430,793 with GCF Formula

Least Common Multiple of 814,430,793 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 814,430,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,430,793) = 1

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

GCF(814,430,793) x common factors =1 x 2 = 2

LCM(814,430,793) = ( 814 × 430 × 793 ) / 2

LCM(814,430,793) = 277565860 / 2

LCM(814,430,793) = 138782930


Lets's calculate GCF of 742,401,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138782930/1

Therefore the LCM of Fractions 814/742,430/401,793/508 is 138782930

Greatest Common Factor of 742,401,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,401,508 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 742,401,508 . The biggest common factor number is the GCF number.
So the greatest common factor 742,401,508 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 814/742, 430/401, 793/508

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 814/742, 430/401, 793/508?

Answer: LCM of Numerators as per given numbers 814/742, 430/401, 793/508 is

LCM of Numerators i.e. for 814,430,793 is 138782930

GCF of denominators i.e. for 742,401,508 is 1.

Thus, LCM of Fractions is 138782930.Finally, LCM of Fractions for 814/742, 430/401, 793/508 is 138782930.