Least Common Multiple of 450/849, 151/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/849, 151/210 quickly i.e. 22650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/849, 151/210 is 22650.

LCM(450/849, 151/210) = 22650

LCM of 450/849, 151/210

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 450/849,151/210

Given numbers are 450/849,151/210

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 450,151

Least Common Multiple of Numerators i.e. LCM of 450,151 is 67950.

GCF of Denominators means GCF of 849,210 as per the given fractions.

GCF of 849,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,151

LCM of Fractions 450/849,151/210 is 22650

Given numbers has no common factors except 1. So, there LCM is their product i.e 67950

Least Common Multiple of 450,151 with GCF Formula

Least Common Multiple of 450,151 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 450,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,151) = 1

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

GCF(450,151) x common factors =1 x 1 = 1

LCM(450,151) = ( 450 × 151 ) / 1

LCM(450,151) = 67950 / 1

LCM(450,151) = 67950


Lets's calculate GCF of 849,210

3 849, 210
283, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67950/3

Therefore the LCM of Fractions 450/849,151/210 is 22650

Greatest Common Factor of 849,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,210 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 849,210 . The biggest common factor number is the GCF number.
So the greatest common factor 849,210 is 3.


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 450/849, 151/210

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 450/849, 151/210?

Answer: LCM of Numerators as per given numbers 450/849, 151/210 is

LCM of Numerators i.e. for 450,151 is 67950

GCF of denominators i.e. for 849,210 is 3.

Thus, LCM of Fractions is 22650.Finally, LCM of Fractions for 450/849, 151/210 is 22650.