Least Common Multiple of 149/78, 394/9200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/78, 394/9200 quickly i.e. 29353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/78, 394/9200 is 29353.

LCM(149/78, 394/9200) = 29353

LCM of 149/78, 394/9200

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 149/78,394/9200

Given numbers are 149/78,394/9200

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 149,394

Least Common Multiple of Numerators i.e. LCM of 149,394 is 58706.

GCF of Denominators means GCF of 78,9200 as per the given fractions.

GCF of 78,9200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,394

LCM of Fractions 149/78,394/9200 is 29353

Given numbers has no common factors except 1. So, there LCM is their product i.e 58706

Least Common Multiple of 149,394 with GCF Formula

Least Common Multiple of 149,394 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 149,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,394) = 1

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

GCF(149,394) x common factors =1 x 1 = 1

LCM(149,394) = ( 149 × 394 ) / 1

LCM(149,394) = 58706 / 1

LCM(149,394) = 58706


Lets's calculate GCF of 78,9200

2 78, 9200
39, 4600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58706/2

Therefore the LCM of Fractions 149/78,394/9200 is 29353

Greatest Common Factor of 78,9200 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,9200 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 9200

List of positive integer factors of 9200 that divides 9200 without a remainder.

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Greatest Common Factor

We found the factors 78,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 78,9200 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 149/78, 394/9200

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 149/78, 394/9200?

Answer: LCM of Numerators as per given numbers 149/78, 394/9200 is

LCM of Numerators i.e. for 149,394 is 58706

GCF of denominators i.e. for 78,9200 is 2.

Thus, LCM of Fractions is 29353.Finally, LCM of Fractions for 149/78, 394/9200 is 29353.