Least Common Multiple of 848/749, 816/135, 111/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 848/749, 816/135, 111/645 quickly i.e. 1600176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 848/749, 816/135, 111/645 is 1600176.

LCM(848/749, 816/135, 111/645) = 1600176

LCM of 848/749, 816/135, 111/645

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 848/749,816/135,111/645

Given numbers are 848/749,816/135,111/645

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 848,816,111

Least Common Multiple of Numerators i.e. LCM of 848,816,111 is 1600176.

GCF of Denominators means GCF of 749,135,645 as per the given fractions.

GCF of 749,135,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 848,816,111

LCM of Fractions 848/749,816/135,111/645 is 1600176

2 848, 816, 111
2 424, 408, 111
2 212, 204, 111
2 106, 102, 111
3 53, 51, 111
53, 17, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 53 x 17 x 37 = 1600176

Least Common Multiple of 848,816,111 with GCF Formula

Least Common Multiple of 848,816,111 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 848,816,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,816,111) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(848,816,111) x common factors =1 x 48 = 48

LCM(848,816,111) = ( 848 × 816 × 111 ) / 48

LCM(848,816,111) = 76808448 / 48

LCM(848,816,111) = 1600176


Lets's calculate GCF of 749,135,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1600176/1

Therefore the LCM of Fractions 848/749,816/135,111/645 is 1600176

Greatest Common Factor of 749,135,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,135,645 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 749,135,645 . The biggest common factor number is the GCF number.
So the greatest common factor 749,135,645 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 848/749, 816/135, 111/645

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 848/749, 816/135, 111/645?

Answer: LCM of Numerators as per given numbers 848/749, 816/135, 111/645 is

LCM of Numerators i.e. for 848,816,111 is 1600176

GCF of denominators i.e. for 749,135,645 is 1.

Thus, LCM of Fractions is 1600176.Finally, LCM of Fractions for 848/749, 816/135, 111/645 is 1600176.