Least Common Multiple of 906/45, 984/68, 147/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/45, 984/68, 147/918 quickly i.e. 7280616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/45, 984/68, 147/918 is 7280616.

LCM(906/45, 984/68, 147/918) = 7280616

LCM of 906/45, 984/68, 147/918

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 906/45,984/68,147/918

Given numbers are 906/45,984/68,147/918

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 906,984,147

Least Common Multiple of Numerators i.e. LCM of 906,984,147 is 7280616.

GCF of Denominators means GCF of 45,68,918 as per the given fractions.

GCF of 45,68,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,984,147

LCM of Fractions 906/45,984/68,147/918 is 7280616

2 906, 984, 147
3 453, 492, 147
151, 164, 49

∴ So the LCM of the given numbers is 2 x 3 x 151 x 164 x 49 = 7280616

Least Common Multiple of 906,984,147 with GCF Formula

Least Common Multiple of 906,984,147 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 906,984,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,984,147) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(906,984,147) x common factors =3 x 6 = 18

LCM(906,984,147) = ( 906 × 984 × 147 ) / 18

LCM(906,984,147) = 131051088 / 18

LCM(906,984,147) = 7280616


Lets's calculate GCF of 45,68,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7280616/1

Therefore the LCM of Fractions 906/45,984/68,147/918 is 7280616

Greatest Common Factor of 45,68,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,68,918 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 45,68,918 . The biggest common factor number is the GCF number.
So the greatest common factor 45,68,918 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 906/45, 984/68, 147/918

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 906/45, 984/68, 147/918?

Answer: LCM of Numerators as per given numbers 906/45, 984/68, 147/918 is

LCM of Numerators i.e. for 906,984,147 is 7280616

GCF of denominators i.e. for 45,68,918 is 1.

Thus, LCM of Fractions is 7280616.Finally, LCM of Fractions for 906/45, 984/68, 147/918 is 7280616.