Least Common Multiple of 106/467, 4117/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/467, 4117/763 quickly i.e. 436402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/467, 4117/763 is 436402.

LCM(106/467, 4117/763) = 436402

LCM of 106/467, 4117/763

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 106/467,4117/763

Given numbers are 106/467,4117/763

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 106,4117

Least Common Multiple of Numerators i.e. LCM of 106,4117 is 436402.

GCF of Denominators means GCF of 467,763 as per the given fractions.

GCF of 467,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,4117

LCM of Fractions 106/467,4117/763 is 436402

Given numbers has no common factors except 1. So, there LCM is their product i.e 436402

Least Common Multiple of 106,4117 with GCF Formula

Least Common Multiple of 106,4117 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 106,4117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,4117) = 1

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

GCF(106,4117) x common factors =1 x 1 = 1

LCM(106,4117) = ( 106 × 4117 ) / 1

LCM(106,4117) = 436402 / 1

LCM(106,4117) = 436402


Lets's calculate GCF of 467,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436402/1

Therefore the LCM of Fractions 106/467,4117/763 is 436402

Greatest Common Factor of 467,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,763 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 467,763 . The biggest common factor number is the GCF number.
So the greatest common factor 467,763 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 106/467, 4117/763

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 106/467, 4117/763?

Answer: LCM of Numerators as per given numbers 106/467, 4117/763 is

LCM of Numerators i.e. for 106,4117 is 436402

GCF of denominators i.e. for 467,763 is 1.

Thus, LCM of Fractions is 436402.Finally, LCM of Fractions for 106/467, 4117/763 is 436402.