Least Common Multiple of 22/639, 84/334, 998/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/639, 84/334, 998/688 quickly i.e. 461076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/639, 84/334, 998/688 is 461076.

LCM(22/639, 84/334, 998/688) = 461076

LCM of 22/639, 84/334, 998/688

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 22/639,84/334,998/688

Given numbers are 22/639,84/334,998/688

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 22,84,998

Least Common Multiple of Numerators i.e. LCM of 22,84,998 is 461076.

GCF of Denominators means GCF of 639,334,688 as per the given fractions.

GCF of 639,334,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,84,998

LCM of Fractions 22/639,84/334,998/688 is 461076

2 22, 84, 998
11, 42, 499

∴ So the LCM of the given numbers is 2 x 11 x 42 x 499 = 461076

Least Common Multiple of 22,84,998 with GCF Formula

Least Common Multiple of 22,84,998 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 22,84,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,84,998) = 2

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

GCF(22,84,998) x common factors =2 x 2 = 4

LCM(22,84,998) = ( 22 × 84 × 998 ) / 4

LCM(22,84,998) = 1844304 / 4

LCM(22,84,998) = 461076


Lets's calculate GCF of 639,334,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461076/1

Therefore the LCM of Fractions 22/639,84/334,998/688 is 461076

Greatest Common Factor of 639,334,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,334,688 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 639,334,688 . The biggest common factor number is the GCF number.
So the greatest common factor 639,334,688 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 22/639, 84/334, 998/688

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 22/639, 84/334, 998/688?

Answer: LCM of Numerators as per given numbers 22/639, 84/334, 998/688 is

LCM of Numerators i.e. for 22,84,998 is 461076

GCF of denominators i.e. for 639,334,688 is 1.

Thus, LCM of Fractions is 461076.Finally, LCM of Fractions for 22/639, 84/334, 998/688 is 461076.