Least Common Multiple of 877/48, 297/43, 193/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/48, 297/43, 193/306 quickly i.e. 50270517 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/48, 297/43, 193/306 is 50270517.

LCM(877/48, 297/43, 193/306) = 50270517

LCM of 877/48, 297/43, 193/306

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 877/48,297/43,193/306

Given numbers are 877/48,297/43,193/306

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 877,297,193

Least Common Multiple of Numerators i.e. LCM of 877,297,193 is 50270517.

GCF of Denominators means GCF of 48,43,306 as per the given fractions.

GCF of 48,43,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,297,193

LCM of Fractions 877/48,297/43,193/306 is 50270517

Given numbers has no common factors except 1. So, there LCM is their product i.e 50270517

Least Common Multiple of 877,297,193 with GCF Formula

Least Common Multiple of 877,297,193 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 877,297,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,297,193) = 1

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

GCF(877,297,193) x common factors =1 x 1 = 1

LCM(877,297,193) = ( 877 × 297 × 193 ) / 1

LCM(877,297,193) = 50270517 / 1

LCM(877,297,193) = 50270517


Lets's calculate GCF of 48,43,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50270517/1

Therefore the LCM of Fractions 877/48,297/43,193/306 is 50270517

Greatest Common Factor of 48,43,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,43,306 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 48,43,306 . The biggest common factor number is the GCF number.
So the greatest common factor 48,43,306 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 877/48, 297/43, 193/306

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 877/48, 297/43, 193/306?

Answer: LCM of Numerators as per given numbers 877/48, 297/43, 193/306 is

LCM of Numerators i.e. for 877,297,193 is 50270517

GCF of denominators i.e. for 48,43,306 is 1.

Thus, LCM of Fractions is 50270517.Finally, LCM of Fractions for 877/48, 297/43, 193/306 is 50270517.