Least Common Multiple of 622/90, 599/74, 829/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 622/90, 599/74, 829/84 quickly i.e. 154433581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/90, 599/74, 829/84 is 154433581.

LCM(622/90, 599/74, 829/84) = 154433581

LCM of 622/90, 599/74, 829/84

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 622/90,599/74,829/84

Given numbers are 622/90,599/74,829/84

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 622,599,829

Least Common Multiple of Numerators i.e. LCM of 622,599,829 is 308867162.

GCF of Denominators means GCF of 90,74,84 as per the given fractions.

GCF of 90,74,84 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,599,829

LCM of Fractions 622/90,599/74,829/84 is 154433581

Given numbers has no common factors except 1. So, there LCM is their product i.e 308867162

Least Common Multiple of 622,599,829 with GCF Formula

Least Common Multiple of 622,599,829 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 622,599,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,599,829) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(622,599,829) x common factors =1 x 1 = 1

LCM(622,599,829) = ( 622 × 599 × 829 ) / 1

LCM(622,599,829) = 308867162 / 1

LCM(622,599,829) = 308867162


Lets's calculate GCF of 90,74,84

2 90, 74, 84
45, 37, 42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308867162/2

Therefore the LCM of Fractions 622/90,599/74,829/84 is 154433581

Greatest Common Factor of 90,74,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,74,84 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 90,74,84 . The biggest common factor number is the GCF number.
So the greatest common factor 90,74,84 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 622/90, 599/74, 829/84

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 622/90, 599/74, 829/84?

Answer: LCM of Numerators as per given numbers 622/90, 599/74, 829/84 is

LCM of Numerators i.e. for 622,599,829 is 308867162

GCF of denominators i.e. for 90,74,84 is 2.

Thus, LCM of Fractions is 154433581.Finally, LCM of Fractions for 622/90, 599/74, 829/84 is 154433581.