Least Common Multiple of 48/245, 48/951, 273/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/245, 48/951, 273/206 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/245, 48/951, 273/206 is 4368.

LCM(48/245, 48/951, 273/206) = 4368

LCM of 48/245, 48/951, 273/206

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 48/245,48/951,273/206

Given numbers are 48/245,48/951,273/206

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 48,48,273

Least Common Multiple of Numerators i.e. LCM of 48,48,273 is 4368.

GCF of Denominators means GCF of 245,951,206 as per the given fractions.

GCF of 245,951,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,48,273

LCM of Fractions 48/245,48/951,273/206 is 4368

2 48, 48, 273
2 24, 24, 273
2 12, 12, 273
2 6, 6, 273
3 3, 3, 273
1, 1, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 1 x 91 = 4368

Least Common Multiple of 48,48,273 with GCF Formula

Least Common Multiple of 48,48,273 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 48,48,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,48,273) = 3

common factors(in case of two or more numbers have common factors) = 48

GCF(48,48,273) x common factors =3 x 48 = 144

LCM(48,48,273) = ( 48 × 48 × 273 ) / 144

LCM(48,48,273) = 628992 / 144

LCM(48,48,273) = 4368


Lets's calculate GCF of 245,951,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1

Therefore the LCM of Fractions 48/245,48/951,273/206 is 4368

Greatest Common Factor of 245,951,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,951,206 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 245,951,206 . The biggest common factor number is the GCF number.
So the greatest common factor 245,951,206 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 48/245, 48/951, 273/206

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 48/245, 48/951, 273/206?

Answer: LCM of Numerators as per given numbers 48/245, 48/951, 273/206 is

LCM of Numerators i.e. for 48,48,273 is 4368

GCF of denominators i.e. for 245,951,206 is 1.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 48/245, 48/951, 273/206 is 4368.