Least Common Multiple of 48/370, 25/251, 309/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/370, 25/251, 309/196 quickly i.e. 123600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/370, 25/251, 309/196 is 123600.

LCM(48/370, 25/251, 309/196) = 123600

LCM of 48/370, 25/251, 309/196

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 48/370,25/251,309/196

Given numbers are 48/370,25/251,309/196

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 48,25,309

Least Common Multiple of Numerators i.e. LCM of 48,25,309 is 123600.

GCF of Denominators means GCF of 370,251,196 as per the given fractions.

GCF of 370,251,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,25,309

LCM of Fractions 48/370,25/251,309/196 is 123600

3 48, 25, 309
16, 25, 103

∴ So the LCM of the given numbers is 3 x 16 x 25 x 103 = 123600

Least Common Multiple of 48,25,309 with GCF Formula

Least Common Multiple of 48,25,309 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 48,25,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,25,309) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,25,309) x common factors =1 x 3 = 3

LCM(48,25,309) = ( 48 × 25 × 309 ) / 3

LCM(48,25,309) = 370800 / 3

LCM(48,25,309) = 123600


Lets's calculate GCF of 370,251,196

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123600/1

Therefore the LCM of Fractions 48/370,25/251,309/196 is 123600

Greatest Common Factor of 370,251,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,251,196 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 370,251,196 . The biggest common factor number is the GCF number.
So the greatest common factor 370,251,196 is 1.


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 48/370, 25/251, 309/196

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 48/370, 25/251, 309/196?

Answer: LCM of Numerators as per given numbers 48/370, 25/251, 309/196 is

LCM of Numerators i.e. for 48,25,309 is 123600

GCF of denominators i.e. for 370,251,196 is 1.

Thus, LCM of Fractions is 123600.Finally, LCM of Fractions for 48/370, 25/251, 309/196 is 123600.