Least Common Multiple of 809/150, 368/529, 662/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 809/150, 368/529, 662/889 quickly i.e. 98542672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/150, 368/529, 662/889 is 98542672.

LCM(809/150, 368/529, 662/889) = 98542672

LCM of 809/150, 368/529, 662/889

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 809/150,368/529,662/889

Given numbers are 809/150,368/529,662/889

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 809,368,662

Least Common Multiple of Numerators i.e. LCM of 809,368,662 is 98542672.

GCF of Denominators means GCF of 150,529,889 as per the given fractions.

GCF of 150,529,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,368,662

LCM of Fractions 809/150,368/529,662/889 is 98542672

2 809, 368, 662
809, 184, 331

∴ So the LCM of the given numbers is 2 x 809 x 184 x 331 = 98542672

Least Common Multiple of 809,368,662 with GCF Formula

Least Common Multiple of 809,368,662 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 809,368,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,368,662) = 1

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

GCF(809,368,662) x common factors =1 x 2 = 2

LCM(809,368,662) = ( 809 × 368 × 662 ) / 2

LCM(809,368,662) = 197085344 / 2

LCM(809,368,662) = 98542672


Lets's calculate GCF of 150,529,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98542672/1

Therefore the LCM of Fractions 809/150,368/529,662/889 is 98542672

Greatest Common Factor of 150,529,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,529,889 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 150,529,889 . The biggest common factor number is the GCF number.
So the greatest common factor 150,529,889 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 809/150, 368/529, 662/889

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 809/150, 368/529, 662/889?

Answer: LCM of Numerators as per given numbers 809/150, 368/529, 662/889 is

LCM of Numerators i.e. for 809,368,662 is 98542672

GCF of denominators i.e. for 150,529,889 is 1.

Thus, LCM of Fractions is 98542672.Finally, LCM of Fractions for 809/150, 368/529, 662/889 is 98542672.