Least Common Multiple of 1899/870, 2088/6172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1899/870, 2088/6172 quickly i.e. 220284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1899/870, 2088/6172 is 220284.

LCM(1899/870, 2088/6172) = 220284

LCM of 1899/870, 2088/6172

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 1899/870,2088/6172

Given numbers are 1899/870,2088/6172

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 1899,2088

Least Common Multiple of Numerators i.e. LCM of 1899,2088 is 440568.

GCF of Denominators means GCF of 870,6172 as per the given fractions.

GCF of 870,6172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1899,2088

LCM of Fractions 1899/870,2088/6172 is 220284

3 1899, 2088
3 633, 696
211, 232

∴ So the LCM of the given numbers is 3 x 3 x 211 x 232 = 440568

Least Common Multiple of 1899,2088 with GCF Formula

Least Common Multiple of 1899,2088 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 1899,2088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1899,2088) = 9

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

GCF(1899,2088) x common factors =9 x 1 = 9

LCM(1899,2088) = ( 1899 × 2088 ) / 9

LCM(1899,2088) = 3965112 / 9

LCM(1899,2088) = 440568


Lets's calculate GCF of 870,6172

2 870, 6172
435, 3086

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440568/2

Therefore the LCM of Fractions 1899/870,2088/6172 is 220284

Greatest Common Factor of 870,6172 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,6172 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1,2,4,1543,3086,6172

Greatest Common Factor

We found the factors 870,6172 . The biggest common factor number is the GCF number.
So the greatest common factor 870,6172 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 1899/870, 2088/6172

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 1899/870, 2088/6172?

Answer: LCM of Numerators as per given numbers 1899/870, 2088/6172 is

LCM of Numerators i.e. for 1899,2088 is 440568

GCF of denominators i.e. for 870,6172 is 2.

Thus, LCM of Fractions is 220284.Finally, LCM of Fractions for 1899/870, 2088/6172 is 220284.