Least Common Multiple of 702/670, 824/383, 518/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/670, 824/383, 518/531 quickly i.e. 74909016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/670, 824/383, 518/531 is 74909016.

LCM(702/670, 824/383, 518/531) = 74909016

LCM of 702/670, 824/383, 518/531

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 702/670,824/383,518/531

Given numbers are 702/670,824/383,518/531

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 702,824,518

Least Common Multiple of Numerators i.e. LCM of 702,824,518 is 74909016.

GCF of Denominators means GCF of 670,383,531 as per the given fractions.

GCF of 670,383,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,824,518

LCM of Fractions 702/670,824/383,518/531 is 74909016

2 702, 824, 518
351, 412, 259

∴ So the LCM of the given numbers is 2 x 351 x 412 x 259 = 74909016

Least Common Multiple of 702,824,518 with GCF Formula

Least Common Multiple of 702,824,518 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 702,824,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,824,518) = 2

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

GCF(702,824,518) x common factors =2 x 2 = 4

LCM(702,824,518) = ( 702 × 824 × 518 ) / 4

LCM(702,824,518) = 299636064 / 4

LCM(702,824,518) = 74909016


Lets's calculate GCF of 670,383,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74909016/1

Therefore the LCM of Fractions 702/670,824/383,518/531 is 74909016

Greatest Common Factor of 670,383,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,383,531 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 670,383,531 . The biggest common factor number is the GCF number.
So the greatest common factor 670,383,531 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 702/670, 824/383, 518/531

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 702/670, 824/383, 518/531?

Answer: LCM of Numerators as per given numbers 702/670, 824/383, 518/531 is

LCM of Numerators i.e. for 702,824,518 is 74909016

GCF of denominators i.e. for 670,383,531 is 1.

Thus, LCM of Fractions is 74909016.Finally, LCM of Fractions for 702/670, 824/383, 518/531 is 74909016.