Least Common Multiple of 107/45, 632/9466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 107/45, 632/9466 quickly i.e. 67624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/45, 632/9466 is 67624.

LCM(107/45, 632/9466) = 67624

LCM of 107/45, 632/9466

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 107/45,632/9466

Given numbers are 107/45,632/9466

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 107,632

Least Common Multiple of Numerators i.e. LCM of 107,632 is 67624.

GCF of Denominators means GCF of 45,9466 as per the given fractions.

GCF of 45,9466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,632

LCM of Fractions 107/45,632/9466 is 67624

Given numbers has no common factors except 1. So, there LCM is their product i.e 67624

Least Common Multiple of 107,632 with GCF Formula

Least Common Multiple of 107,632 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 107,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,632) = 1

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

GCF(107,632) x common factors =1 x 1 = 1

LCM(107,632) = ( 107 × 632 ) / 1

LCM(107,632) = 67624 / 1

LCM(107,632) = 67624


Lets's calculate GCF of 45,9466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67624/1

Therefore the LCM of Fractions 107/45,632/9466 is 67624

Greatest Common Factor of 45,9466 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,9466 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 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Greatest Common Factor

We found the factors 45,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 45,9466 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 107/45, 632/9466

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 107/45, 632/9466?

Answer: LCM of Numerators as per given numbers 107/45, 632/9466 is

LCM of Numerators i.e. for 107,632 is 67624

GCF of denominators i.e. for 45,9466 is 1.

Thus, LCM of Fractions is 67624.Finally, LCM of Fractions for 107/45, 632/9466 is 67624.