Least Common Multiple of 796/49, 417/55, 575/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 796/49, 417/55, 575/863 quickly i.e. 190860900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/49, 417/55, 575/863 is 190860900.

LCM(796/49, 417/55, 575/863) = 190860900

LCM of 796/49, 417/55, 575/863

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 796/49,417/55,575/863

Given numbers are 796/49,417/55,575/863

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 796,417,575

Least Common Multiple of Numerators i.e. LCM of 796,417,575 is 190860900.

GCF of Denominators means GCF of 49,55,863 as per the given fractions.

GCF of 49,55,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,417,575

LCM of Fractions 796/49,417/55,575/863 is 190860900

Given numbers has no common factors except 1. So, there LCM is their product i.e 190860900

Least Common Multiple of 796,417,575 with GCF Formula

Least Common Multiple of 796,417,575 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 796,417,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,417,575) = 1

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

GCF(796,417,575) x common factors =1 x 1 = 1

LCM(796,417,575) = ( 796 × 417 × 575 ) / 1

LCM(796,417,575) = 190860900 / 1

LCM(796,417,575) = 190860900


Lets's calculate GCF of 49,55,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190860900/1

Therefore the LCM of Fractions 796/49,417/55,575/863 is 190860900

Greatest Common Factor of 49,55,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,55,863 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 49,55,863 . The biggest common factor number is the GCF number.
So the greatest common factor 49,55,863 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 796/49, 417/55, 575/863

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 796/49, 417/55, 575/863?

Answer: LCM of Numerators as per given numbers 796/49, 417/55, 575/863 is

LCM of Numerators i.e. for 796,417,575 is 190860900

GCF of denominators i.e. for 49,55,863 is 1.

Thus, LCM of Fractions is 190860900.Finally, LCM of Fractions for 796/49, 417/55, 575/863 is 190860900.