Least Common Multiple of 982/76, 828/66, 489/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/76, 828/66, 489/929 quickly i.e. 66267324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/76, 828/66, 489/929 is 66267324.

LCM(982/76, 828/66, 489/929) = 66267324

LCM of 982/76, 828/66, 489/929

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 982/76,828/66,489/929

Given numbers are 982/76,828/66,489/929

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 982,828,489

Least Common Multiple of Numerators i.e. LCM of 982,828,489 is 66267324.

GCF of Denominators means GCF of 76,66,929 as per the given fractions.

GCF of 76,66,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,828,489

LCM of Fractions 982/76,828/66,489/929 is 66267324

2 982, 828, 489
3 491, 414, 489
491, 138, 163

∴ So the LCM of the given numbers is 2 x 3 x 491 x 138 x 163 = 66267324

Least Common Multiple of 982,828,489 with GCF Formula

Least Common Multiple of 982,828,489 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 982,828,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,828,489) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(982,828,489) x common factors =1 x 6 = 6

LCM(982,828,489) = ( 982 × 828 × 489 ) / 6

LCM(982,828,489) = 397603944 / 6

LCM(982,828,489) = 66267324


Lets's calculate GCF of 76,66,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66267324/1

Therefore the LCM of Fractions 982/76,828/66,489/929 is 66267324

Greatest Common Factor of 76,66,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,66,929 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 76,66,929 . The biggest common factor number is the GCF number.
So the greatest common factor 76,66,929 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 982/76, 828/66, 489/929

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 982/76, 828/66, 489/929?

Answer: LCM of Numerators as per given numbers 982/76, 828/66, 489/929 is

LCM of Numerators i.e. for 982,828,489 is 66267324

GCF of denominators i.e. for 76,66,929 is 1.

Thus, LCM of Fractions is 66267324.Finally, LCM of Fractions for 982/76, 828/66, 489/929 is 66267324.