Least Common Multiple of 900/77, 791/56, 345/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/77, 791/56, 345/73 quickly i.e. 16373700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/77, 791/56, 345/73 is 16373700.

LCM(900/77, 791/56, 345/73) = 16373700

LCM of 900/77, 791/56, 345/73

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 900/77,791/56,345/73

Given numbers are 900/77,791/56,345/73

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 900,791,345

Least Common Multiple of Numerators i.e. LCM of 900,791,345 is 16373700.

GCF of Denominators means GCF of 77,56,73 as per the given fractions.

GCF of 77,56,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,791,345

LCM of Fractions 900/77,791/56,345/73 is 16373700

3 900, 791, 345
5 300, 791, 115
60, 791, 23

∴ So the LCM of the given numbers is 3 x 5 x 60 x 791 x 23 = 16373700

Least Common Multiple of 900,791,345 with GCF Formula

Least Common Multiple of 900,791,345 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 900,791,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,791,345) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(900,791,345) x common factors =1 x 15 = 15

LCM(900,791,345) = ( 900 × 791 × 345 ) / 15

LCM(900,791,345) = 245605500 / 15

LCM(900,791,345) = 16373700


Lets's calculate GCF of 77,56,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16373700/1

Therefore the LCM of Fractions 900/77,791/56,345/73 is 16373700

Greatest Common Factor of 77,56,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,56,73 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 77,56,73 . The biggest common factor number is the GCF number.
So the greatest common factor 77,56,73 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 900/77, 791/56, 345/73

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 900/77, 791/56, 345/73?

Answer: LCM of Numerators as per given numbers 900/77, 791/56, 345/73 is

LCM of Numerators i.e. for 900,791,345 is 16373700

GCF of denominators i.e. for 77,56,73 is 1.

Thus, LCM of Fractions is 16373700.Finally, LCM of Fractions for 900/77, 791/56, 345/73 is 16373700.