Least Common Multiple of 94/213, 2250/4140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/213, 2250/4140 quickly i.e. 35250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/213, 2250/4140 is 35250.

LCM(94/213, 2250/4140) = 35250

LCM of 94/213, 2250/4140

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 94/213,2250/4140

Given numbers are 94/213,2250/4140

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 94,2250

Least Common Multiple of Numerators i.e. LCM of 94,2250 is 105750.

GCF of Denominators means GCF of 213,4140 as per the given fractions.

GCF of 213,4140 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,2250

LCM of Fractions 94/213,2250/4140 is 35250

2 94, 2250
47, 1125

∴ So the LCM of the given numbers is 2 x 47 x 1125 = 105750

Least Common Multiple of 94,2250 with GCF Formula

Least Common Multiple of 94,2250 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 94,2250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,2250) = 2

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

GCF(94,2250) x common factors =2 x 1 = 2

LCM(94,2250) = ( 94 × 2250 ) / 2

LCM(94,2250) = 211500 / 2

LCM(94,2250) = 105750


Lets's calculate GCF of 213,4140

3 213, 4140
71, 1380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105750/3

Therefore the LCM of Fractions 94/213,2250/4140 is 35250

Greatest Common Factor of 213,4140 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,4140 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Greatest Common Factor

We found the factors 213,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 213,4140 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 94/213, 2250/4140

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 94/213, 2250/4140?

Answer: LCM of Numerators as per given numbers 94/213, 2250/4140 is

LCM of Numerators i.e. for 94,2250 is 105750

GCF of denominators i.e. for 213,4140 is 3.

Thus, LCM of Fractions is 35250.Finally, LCM of Fractions for 94/213, 2250/4140 is 35250.