Least Common Multiple of 35/29, 518/43, 528/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/29, 518/43, 528/840 quickly i.e. 683760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/29, 518/43, 528/840 is 683760.

LCM(35/29, 518/43, 528/840) = 683760

LCM of 35/29, 518/43, 528/840

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 35/29,518/43,528/840

Given numbers are 35/29,518/43,528/840

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 35,518,528

Least Common Multiple of Numerators i.e. LCM of 35,518,528 is 683760.

GCF of Denominators means GCF of 29,43,840 as per the given fractions.

GCF of 29,43,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,518,528

LCM of Fractions 35/29,518/43,528/840 is 683760

2 35, 518, 528
7 35, 259, 264
5, 37, 264

∴ So the LCM of the given numbers is 2 x 7 x 5 x 37 x 264 = 683760

Least Common Multiple of 35,518,528 with GCF Formula

Least Common Multiple of 35,518,528 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 35,518,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,518,528) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,518,528) x common factors =1 x 14 = 14

LCM(35,518,528) = ( 35 × 518 × 528 ) / 14

LCM(35,518,528) = 9572640 / 14

LCM(35,518,528) = 683760


Lets's calculate GCF of 29,43,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683760/1

Therefore the LCM of Fractions 35/29,518/43,528/840 is 683760

Greatest Common Factor of 29,43,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,43,840 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 29,43,840 . The biggest common factor number is the GCF number.
So the greatest common factor 29,43,840 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 35/29, 518/43, 528/840

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 35/29, 518/43, 528/840?

Answer: LCM of Numerators as per given numbers 35/29, 518/43, 528/840 is

LCM of Numerators i.e. for 35,518,528 is 683760

GCF of denominators i.e. for 29,43,840 is 1.

Thus, LCM of Fractions is 683760.Finally, LCM of Fractions for 35/29, 518/43, 528/840 is 683760.