Least Common Multiple of 648/699, 362/777, 911/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/699, 362/777, 911/153 quickly i.e. 35616456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/699, 362/777, 911/153 is 35616456.

LCM(648/699, 362/777, 911/153) = 35616456

LCM of 648/699, 362/777, 911/153

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 648/699,362/777,911/153

Given numbers are 648/699,362/777,911/153

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 648,362,911

Least Common Multiple of Numerators i.e. LCM of 648,362,911 is 106849368.

GCF of Denominators means GCF of 699,777,153 as per the given fractions.

GCF of 699,777,153 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,362,911

LCM of Fractions 648/699,362/777,911/153 is 35616456

2 648, 362, 911
324, 181, 911

∴ So the LCM of the given numbers is 2 x 324 x 181 x 911 = 106849368

Least Common Multiple of 648,362,911 with GCF Formula

Least Common Multiple of 648,362,911 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 648,362,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,362,911) = 1

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

GCF(648,362,911) x common factors =1 x 2 = 2

LCM(648,362,911) = ( 648 × 362 × 911 ) / 2

LCM(648,362,911) = 213698736 / 2

LCM(648,362,911) = 106849368


Lets's calculate GCF of 699,777,153

3 699, 777, 153
233, 259, 51

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106849368/3

Therefore the LCM of Fractions 648/699,362/777,911/153 is 35616456

Greatest Common Factor of 699,777,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,777,153 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 699,777,153 . The biggest common factor number is the GCF number.
So the greatest common factor 699,777,153 is 3.


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 648/699, 362/777, 911/153

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 648/699, 362/777, 911/153?

Answer: LCM of Numerators as per given numbers 648/699, 362/777, 911/153 is

LCM of Numerators i.e. for 648,362,911 is 106849368

GCF of denominators i.e. for 699,777,153 is 3.

Thus, LCM of Fractions is 35616456.Finally, LCM of Fractions for 648/699, 362/777, 911/153 is 35616456.