Least Common Multiple of 217/351, 1900/1989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/351, 1900/1989 quickly i.e. 412300/117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/351, 1900/1989 is 412300/117.

LCM(217/351, 1900/1989) = 412300/117

LCM of 217/351, 1900/1989

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 217/351,1900/1989

Given numbers are 217/351,1900/1989

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 217,1900

Least Common Multiple of Numerators i.e. LCM of 217,1900 is 412300.

GCF of Denominators means GCF of 351,1989 as per the given fractions.

GCF of 351,1989 is 117 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,1900

LCM of Fractions 217/351,1900/1989 is 412300/117

Given numbers has no common factors except 1. So, there LCM is their product i.e 412300

Least Common Multiple of 217,1900 with GCF Formula

Least Common Multiple of 217,1900 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 217,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,1900) = 1

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

GCF(217,1900) x common factors =1 x 1 = 1

LCM(217,1900) = ( 217 × 1900 ) / 1

LCM(217,1900) = 412300 / 1

LCM(217,1900) = 412300


Lets's calculate GCF of 351,1989

3 351, 1989
3 117, 663
13 39, 221
3, 17

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412300/117

Therefore the LCM of Fractions 217/351,1900/1989 is 412300/117

Greatest Common Factor of 351,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,1989 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 351,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 351,1989 is 117.


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 217/351, 1900/1989

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 217/351, 1900/1989?

Answer: LCM of Numerators as per given numbers 217/351, 1900/1989 is

LCM of Numerators i.e. for 217,1900 is 412300

GCF of denominators i.e. for 351,1989 is 117.

Thus, LCM of Fractions is 412300/117.Finally, LCM of Fractions for 217/351, 1900/1989 is 412300/117.