Least Common Multiple of 43/262, 85/598, 860/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/262, 85/598, 860/840 quickly i.e. 7310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/262, 85/598, 860/840 is 7310.

LCM(43/262, 85/598, 860/840) = 7310

LCM of 43/262, 85/598, 860/840

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 43/262,85/598,860/840

Given numbers are 43/262,85/598,860/840

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 43,85,860

Least Common Multiple of Numerators i.e. LCM of 43,85,860 is 14620.

GCF of Denominators means GCF of 262,598,840 as per the given fractions.

GCF of 262,598,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,85,860

LCM of Fractions 43/262,85/598,860/840 is 7310

5 43, 85, 860
43 43, 17, 172
1, 17, 4

∴ So the LCM of the given numbers is 5 x 43 x 1 x 17 x 4 = 14620

Least Common Multiple of 43,85,860 with GCF Formula

Least Common Multiple of 43,85,860 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 43,85,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,85,860) = 1

common factors(in case of two or more numbers have common factors) = 215

GCF(43,85,860) x common factors =1 x 215 = 215

LCM(43,85,860) = ( 43 × 85 × 860 ) / 215

LCM(43,85,860) = 3143300 / 215

LCM(43,85,860) = 14620


Lets's calculate GCF of 262,598,840

2 262, 598, 840
131, 299, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14620/2

Therefore the LCM of Fractions 43/262,85/598,860/840 is 7310

Greatest Common Factor of 262,598,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,598,840 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

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 262,598,840 . The biggest common factor number is the GCF number.
So the greatest common factor 262,598,840 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 43/262, 85/598, 860/840

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 43/262, 85/598, 860/840?

Answer: LCM of Numerators as per given numbers 43/262, 85/598, 860/840 is

LCM of Numerators i.e. for 43,85,860 is 14620

GCF of denominators i.e. for 262,598,840 is 2.

Thus, LCM of Fractions is 7310.Finally, LCM of Fractions for 43/262, 85/598, 860/840 is 7310.