Least Common Multiple of 148/50, 9225/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 148/50, 9225/105 quickly i.e. 273060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/50, 9225/105 is 273060.

LCM(148/50, 9225/105) = 273060

LCM of 148/50, 9225/105

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 148/50,9225/105

Given numbers are 148/50,9225/105

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 148,9225

Least Common Multiple of Numerators i.e. LCM of 148,9225 is 1365300.

GCF of Denominators means GCF of 50,105 as per the given fractions.

GCF of 50,105 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,9225

LCM of Fractions 148/50,9225/105 is 273060

Given numbers has no common factors except 1. So, there LCM is their product i.e 1365300

Least Common Multiple of 148,9225 with GCF Formula

Least Common Multiple of 148,9225 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 148,9225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,9225) = 1

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

GCF(148,9225) x common factors =1 x 1 = 1

LCM(148,9225) = ( 148 × 9225 ) / 1

LCM(148,9225) = 1365300 / 1

LCM(148,9225) = 1365300


Lets's calculate GCF of 50,105

5 50, 105
10, 21

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1365300/5

Therefore the LCM of Fractions 148/50,9225/105 is 273060

Greatest Common Factor of 50,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,105 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 50,105 . The biggest common factor number is the GCF number.
So the greatest common factor 50,105 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 148/50, 9225/105

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 148/50, 9225/105?

Answer: LCM of Numerators as per given numbers 148/50, 9225/105 is

LCM of Numerators i.e. for 148,9225 is 1365300

GCF of denominators i.e. for 50,105 is 5.

Thus, LCM of Fractions is 273060.Finally, LCM of Fractions for 148/50, 9225/105 is 273060.