Least Common Multiple of 919/18, 225/71, 906/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 919/18, 225/71, 906/56 quickly i.e. 62446050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/18, 225/71, 906/56 is 62446050.

LCM(919/18, 225/71, 906/56) = 62446050

LCM of 919/18, 225/71, 906/56

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 919/18,225/71,906/56

Given numbers are 919/18,225/71,906/56

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 919,225,906

Least Common Multiple of Numerators i.e. LCM of 919,225,906 is 62446050.

GCF of Denominators means GCF of 18,71,56 as per the given fractions.

GCF of 18,71,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,225,906

LCM of Fractions 919/18,225/71,906/56 is 62446050

3 919, 225, 906
919, 75, 302

∴ So the LCM of the given numbers is 3 x 919 x 75 x 302 = 62446050

Least Common Multiple of 919,225,906 with GCF Formula

Least Common Multiple of 919,225,906 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 919,225,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,225,906) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(919,225,906) x common factors =1 x 3 = 3

LCM(919,225,906) = ( 919 × 225 × 906 ) / 3

LCM(919,225,906) = 187338150 / 3

LCM(919,225,906) = 62446050


Lets's calculate GCF of 18,71,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62446050/1

Therefore the LCM of Fractions 919/18,225/71,906/56 is 62446050

Greatest Common Factor of 18,71,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,71,56 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 18,71,56 . The biggest common factor number is the GCF number.
So the greatest common factor 18,71,56 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 919/18, 225/71, 906/56

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 919/18, 225/71, 906/56?

Answer: LCM of Numerators as per given numbers 919/18, 225/71, 906/56 is

LCM of Numerators i.e. for 919,225,906 is 62446050

GCF of denominators i.e. for 18,71,56 is 1.

Thus, LCM of Fractions is 62446050.Finally, LCM of Fractions for 919/18, 225/71, 906/56 is 62446050.