Least Common Multiple of 99/105, 842/670, 256/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/105, 842/670, 256/773 quickly i.e. 10669824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/105, 842/670, 256/773 is 10669824.

LCM(99/105, 842/670, 256/773) = 10669824

LCM of 99/105, 842/670, 256/773

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 99/105,842/670,256/773

Given numbers are 99/105,842/670,256/773

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 99,842,256

Least Common Multiple of Numerators i.e. LCM of 99,842,256 is 10669824.

GCF of Denominators means GCF of 105,670,773 as per the given fractions.

GCF of 105,670,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,842,256

LCM of Fractions 99/105,842/670,256/773 is 10669824

2 99, 842, 256
99, 421, 128

∴ So the LCM of the given numbers is 2 x 99 x 421 x 128 = 10669824

Least Common Multiple of 99,842,256 with GCF Formula

Least Common Multiple of 99,842,256 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 99,842,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,842,256) = 1

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

GCF(99,842,256) x common factors =1 x 2 = 2

LCM(99,842,256) = ( 99 × 842 × 256 ) / 2

LCM(99,842,256) = 21339648 / 2

LCM(99,842,256) = 10669824


Lets's calculate GCF of 105,670,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10669824/1

Therefore the LCM of Fractions 99/105,842/670,256/773 is 10669824

Greatest Common Factor of 105,670,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,670,773 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 105,670,773 . The biggest common factor number is the GCF number.
So the greatest common factor 105,670,773 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 99/105, 842/670, 256/773

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 99/105, 842/670, 256/773?

Answer: LCM of Numerators as per given numbers 99/105, 842/670, 256/773 is

LCM of Numerators i.e. for 99,842,256 is 10669824

GCF of denominators i.e. for 105,670,773 is 1.

Thus, LCM of Fractions is 10669824.Finally, LCM of Fractions for 99/105, 842/670, 256/773 is 10669824.