Least Common Multiple of 96/619, 304/261, 888/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/619, 304/261, 888/829 quickly i.e. 67488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/619, 304/261, 888/829 is 67488.

LCM(96/619, 304/261, 888/829) = 67488

LCM of 96/619, 304/261, 888/829

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 96/619,304/261,888/829

Given numbers are 96/619,304/261,888/829

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 96,304,888

Least Common Multiple of Numerators i.e. LCM of 96,304,888 is 67488.

GCF of Denominators means GCF of 619,261,829 as per the given fractions.

GCF of 619,261,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,304,888

LCM of Fractions 96/619,304/261,888/829 is 67488

2 96, 304, 888
2 48, 152, 444
2 24, 76, 222
2 12, 38, 111
3 6, 19, 111
2, 19, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 19 x 37 = 67488

Least Common Multiple of 96,304,888 with GCF Formula

Least Common Multiple of 96,304,888 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 96,304,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,304,888) = 8

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

GCF(96,304,888) x common factors =8 x 48 = 384

LCM(96,304,888) = ( 96 × 304 × 888 ) / 384

LCM(96,304,888) = 25915392 / 384

LCM(96,304,888) = 67488


Lets's calculate GCF of 619,261,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67488/1

Therefore the LCM of Fractions 96/619,304/261,888/829 is 67488

Greatest Common Factor of 619,261,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,261,829 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 619,261,829 . The biggest common factor number is the GCF number.
So the greatest common factor 619,261,829 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 96/619, 304/261, 888/829

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 96/619, 304/261, 888/829?

Answer: LCM of Numerators as per given numbers 96/619, 304/261, 888/829 is

LCM of Numerators i.e. for 96,304,888 is 67488

GCF of denominators i.e. for 619,261,829 is 1.

Thus, LCM of Fractions is 67488.Finally, LCM of Fractions for 96/619, 304/261, 888/829 is 67488.