Least Common Multiple of 22/898, 82/774, 816/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/898, 82/774, 816/305 quickly i.e. 368016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/898, 82/774, 816/305 is 368016.

LCM(22/898, 82/774, 816/305) = 368016

LCM of 22/898, 82/774, 816/305

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 22/898,82/774,816/305

Given numbers are 22/898,82/774,816/305

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 22,82,816

Least Common Multiple of Numerators i.e. LCM of 22,82,816 is 368016.

GCF of Denominators means GCF of 898,774,305 as per the given fractions.

GCF of 898,774,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,82,816

LCM of Fractions 22/898,82/774,816/305 is 368016

2 22, 82, 816
11, 41, 408

∴ So the LCM of the given numbers is 2 x 11 x 41 x 408 = 368016

Least Common Multiple of 22,82,816 with GCF Formula

Least Common Multiple of 22,82,816 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 22,82,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,82,816) = 2

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

GCF(22,82,816) x common factors =2 x 2 = 4

LCM(22,82,816) = ( 22 × 82 × 816 ) / 4

LCM(22,82,816) = 1472064 / 4

LCM(22,82,816) = 368016


Lets's calculate GCF of 898,774,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368016/1

Therefore the LCM of Fractions 22/898,82/774,816/305 is 368016

Greatest Common Factor of 898,774,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,774,305 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 898,774,305 . The biggest common factor number is the GCF number.
So the greatest common factor 898,774,305 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/898, 82/774, 816/305

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 22/898, 82/774, 816/305?

Answer: LCM of Numerators as per given numbers 22/898, 82/774, 816/305 is

LCM of Numerators i.e. for 22,82,816 is 368016

GCF of denominators i.e. for 898,774,305 is 1.

Thus, LCM of Fractions is 368016.Finally, LCM of Fractions for 22/898, 82/774, 816/305 is 368016.