Least Common Multiple of 2150/392, 9073/1214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2150/392, 9073/1214 quickly i.e. 226825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2150/392, 9073/1214 is 226825.

LCM(2150/392, 9073/1214) = 226825

LCM of 2150/392, 9073/1214

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 2150/392,9073/1214

Given numbers are 2150/392,9073/1214

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 2150,9073

Least Common Multiple of Numerators i.e. LCM of 2150,9073 is 453650.

GCF of Denominators means GCF of 392,1214 as per the given fractions.

GCF of 392,1214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2150,9073

LCM of Fractions 2150/392,9073/1214 is 226825

43 2150, 9073
50, 211

∴ So the LCM of the given numbers is 43 x 50 x 211 = 453650

Least Common Multiple of 2150,9073 with GCF Formula

Least Common Multiple of 2150,9073 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 2150,9073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2150,9073) = 43

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

GCF(2150,9073) x common factors =43 x 1 = 43

LCM(2150,9073) = ( 2150 × 9073 ) / 43

LCM(2150,9073) = 19506950 / 43

LCM(2150,9073) = 453650


Lets's calculate GCF of 392,1214

2 392, 1214
196, 607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453650/2

Therefore the LCM of Fractions 2150/392,9073/1214 is 226825

Greatest Common Factor of 392,1214 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,1214 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1,2,607,1214

Greatest Common Factor

We found the factors 392,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 392,1214 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 2150/392, 9073/1214

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 2150/392, 9073/1214?

Answer: LCM of Numerators as per given numbers 2150/392, 9073/1214 is

LCM of Numerators i.e. for 2150,9073 is 453650

GCF of denominators i.e. for 392,1214 is 2.

Thus, LCM of Fractions is 226825.Finally, LCM of Fractions for 2150/392, 9073/1214 is 226825.