Least Common Multiple of 803/46, 262/3679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 803/46, 262/3679 quickly i.e. 210386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/46, 262/3679 is 210386.

LCM(803/46, 262/3679) = 210386

LCM of 803/46, 262/3679

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 803/46,262/3679

Given numbers are 803/46,262/3679

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 803,262

Least Common Multiple of Numerators i.e. LCM of 803,262 is 210386.

GCF of Denominators means GCF of 46,3679 as per the given fractions.

GCF of 46,3679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,262

LCM of Fractions 803/46,262/3679 is 210386

Given numbers has no common factors except 1. So, there LCM is their product i.e 210386

Least Common Multiple of 803,262 with GCF Formula

Least Common Multiple of 803,262 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 803,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,262) = 1

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

GCF(803,262) x common factors =1 x 1 = 1

LCM(803,262) = ( 803 × 262 ) / 1

LCM(803,262) = 210386 / 1

LCM(803,262) = 210386


Lets's calculate GCF of 46,3679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210386/1

Therefore the LCM of Fractions 803/46,262/3679 is 210386

Greatest Common Factor of 46,3679 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3679 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3679

List of positive integer factors of 3679 that divides 3679 without a remainder.

1,13,283,3679

Greatest Common Factor

We found the factors 46,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3679 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 803/46, 262/3679

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 803/46, 262/3679?

Answer: LCM of Numerators as per given numbers 803/46, 262/3679 is

LCM of Numerators i.e. for 803,262 is 210386

GCF of denominators i.e. for 46,3679 is 1.

Thus, LCM of Fractions is 210386.Finally, LCM of Fractions for 803/46, 262/3679 is 210386.