Least Common Multiple of 234/377, 578/866, 663/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/377, 578/866, 663/110 quickly i.e. 67626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/377, 578/866, 663/110 is 67626.

LCM(234/377, 578/866, 663/110) = 67626

LCM of 234/377, 578/866, 663/110

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 234/377,578/866,663/110

Given numbers are 234/377,578/866,663/110

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 234,578,663

Least Common Multiple of Numerators i.e. LCM of 234,578,663 is 67626.

GCF of Denominators means GCF of 377,866,110 as per the given fractions.

GCF of 377,866,110 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,578,663

LCM of Fractions 234/377,578/866,663/110 is 67626

2 234, 578, 663
3 117, 289, 663
13 39, 289, 221
17 3, 289, 17
3, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 3 x 1 x 17 = 67626

Least Common Multiple of 234,578,663 with GCF Formula

Least Common Multiple of 234,578,663 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 234,578,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,578,663) = 1

common factors(in case of two or more numbers have common factors) = 1326

GCF(234,578,663) x common factors =1 x 1326 = 1326

LCM(234,578,663) = ( 234 × 578 × 663 ) / 1326

LCM(234,578,663) = 89672076 / 1326

LCM(234,578,663) = 67626


Lets's calculate GCF of 377,866,110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67626/1

Therefore the LCM of Fractions 234/377,578/866,663/110 is 67626

Greatest Common Factor of 377,866,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,866,110 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 377,866,110 . The biggest common factor number is the GCF number.
So the greatest common factor 377,866,110 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 234/377, 578/866, 663/110

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 234/377, 578/866, 663/110?

Answer: LCM of Numerators as per given numbers 234/377, 578/866, 663/110 is

LCM of Numerators i.e. for 234,578,663 is 67626

GCF of denominators i.e. for 377,866,110 is 1.

Thus, LCM of Fractions is 67626.Finally, LCM of Fractions for 234/377, 578/866, 663/110 is 67626.