Least Common Multiple of 6974/899, 3419/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6974/899, 3419/860 quickly i.e. 23844106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6974/899, 3419/860 is 23844106.

LCM(6974/899, 3419/860) = 23844106

LCM of 6974/899, 3419/860

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 6974/899,3419/860

Given numbers are 6974/899,3419/860

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 6974,3419

Least Common Multiple of Numerators i.e. LCM of 6974,3419 is 23844106.

GCF of Denominators means GCF of 899,860 as per the given fractions.

GCF of 899,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6974,3419

LCM of Fractions 6974/899,3419/860 is 23844106

Given numbers has no common factors except 1. So, there LCM is their product i.e 23844106

Least Common Multiple of 6974,3419 with GCF Formula

Least Common Multiple of 6974,3419 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 6974,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6974,3419) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6974,3419) x common factors =1 x 1 = 1

LCM(6974,3419) = ( 6974 × 3419 ) / 1

LCM(6974,3419) = 23844106 / 1

LCM(6974,3419) = 23844106


Lets's calculate GCF of 899,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23844106/1

Therefore the LCM of Fractions 6974/899,3419/860 is 23844106

Greatest Common Factor of 899,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,860 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 899,860 . The biggest common factor number is the GCF number.
So the greatest common factor 899,860 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 6974/899, 3419/860

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 6974/899, 3419/860?

Answer: LCM of Numerators as per given numbers 6974/899, 3419/860 is

LCM of Numerators i.e. for 6974,3419 is 23844106

GCF of denominators i.e. for 899,860 is 1.

Thus, LCM of Fractions is 23844106.Finally, LCM of Fractions for 6974/899, 3419/860 is 23844106.