Least Common Multiple of 690/48, 821/66, 982/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/48, 821/66, 982/172 quickly i.e. 139073295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/48, 821/66, 982/172 is 139073295.

LCM(690/48, 821/66, 982/172) = 139073295

LCM of 690/48, 821/66, 982/172

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 690/48,821/66,982/172

Given numbers are 690/48,821/66,982/172

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 690,821,982

Least Common Multiple of Numerators i.e. LCM of 690,821,982 is 278146590.

GCF of Denominators means GCF of 48,66,172 as per the given fractions.

GCF of 48,66,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,821,982

LCM of Fractions 690/48,821/66,982/172 is 139073295

2 690, 821, 982
345, 821, 491

∴ So the LCM of the given numbers is 2 x 345 x 821 x 491 = 278146590

Least Common Multiple of 690,821,982 with GCF Formula

Least Common Multiple of 690,821,982 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 690,821,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,821,982) = 1

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

GCF(690,821,982) x common factors =1 x 2 = 2

LCM(690,821,982) = ( 690 × 821 × 982 ) / 2

LCM(690,821,982) = 556293180 / 2

LCM(690,821,982) = 278146590


Lets's calculate GCF of 48,66,172

2 48, 66, 172
24, 33, 86

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278146590/2

Therefore the LCM of Fractions 690/48,821/66,982/172 is 139073295

Greatest Common Factor of 48,66,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,66,172 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 48,66,172 . The biggest common factor number is the GCF number.
So the greatest common factor 48,66,172 is 2.


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 690/48, 821/66, 982/172

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 690/48, 821/66, 982/172?

Answer: LCM of Numerators as per given numbers 690/48, 821/66, 982/172 is

LCM of Numerators i.e. for 690,821,982 is 278146590

GCF of denominators i.e. for 48,66,172 is 2.

Thus, LCM of Fractions is 139073295.Finally, LCM of Fractions for 690/48, 821/66, 982/172 is 139073295.