Least Common Multiple of 796/34, 538/28, 973/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/34, 538/28, 973/222 quickly i.e. 104171326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/34, 538/28, 973/222 is 104171326.

LCM(796/34, 538/28, 973/222) = 104171326

LCM of 796/34, 538/28, 973/222

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 796/34,538/28,973/222

Given numbers are 796/34,538/28,973/222

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 796,538,973

Least Common Multiple of Numerators i.e. LCM of 796,538,973 is 208342652.

GCF of Denominators means GCF of 34,28,222 as per the given fractions.

GCF of 34,28,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,538,973

LCM of Fractions 796/34,538/28,973/222 is 104171326

2 796, 538, 973
398, 269, 973

∴ So the LCM of the given numbers is 2 x 398 x 269 x 973 = 208342652

Least Common Multiple of 796,538,973 with GCF Formula

Least Common Multiple of 796,538,973 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 796,538,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,538,973) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(796,538,973) x common factors =1 x 2 = 2

LCM(796,538,973) = ( 796 × 538 × 973 ) / 2

LCM(796,538,973) = 416685304 / 2

LCM(796,538,973) = 208342652


Lets's calculate GCF of 34,28,222

2 34, 28, 222
17, 14, 111

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208342652/2

Therefore the LCM of Fractions 796/34,538/28,973/222 is 104171326

Greatest Common Factor of 34,28,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,28,222 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 34,28,222 . The biggest common factor number is the GCF number.
So the greatest common factor 34,28,222 is 2.


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 796/34, 538/28, 973/222

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 796/34, 538/28, 973/222?

Answer: LCM of Numerators as per given numbers 796/34, 538/28, 973/222 is

LCM of Numerators i.e. for 796,538,973 is 208342652

GCF of denominators i.e. for 34,28,222 is 2.

Thus, LCM of Fractions is 104171326.Finally, LCM of Fractions for 796/34, 538/28, 973/222 is 104171326.