Least Common Multiple of 263/946, 383/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/946, 383/715 quickly i.e. 100729/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/946, 383/715 is 100729/11.

LCM(263/946, 383/715) = 100729/11

LCM of 263/946, 383/715

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 263/946,383/715

Given numbers are 263/946,383/715

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 263,383

Least Common Multiple of Numerators i.e. LCM of 263,383 is 100729.

GCF of Denominators means GCF of 946,715 as per the given fractions.

GCF of 946,715 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,383

LCM of Fractions 263/946,383/715 is 100729/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 100729

Least Common Multiple of 263,383 with GCF Formula

Least Common Multiple of 263,383 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 263,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,383) = 1

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

GCF(263,383) x common factors =1 x 1 = 1

LCM(263,383) = ( 263 × 383 ) / 1

LCM(263,383) = 100729 / 1

LCM(263,383) = 100729


Lets's calculate GCF of 946,715

11 946, 715
86, 65

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100729/11

Therefore the LCM of Fractions 263/946,383/715 is 100729/11

Greatest Common Factor of 946,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,715 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 946,715 . The biggest common factor number is the GCF number.
So the greatest common factor 946,715 is 11.


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 263/946, 383/715

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 263/946, 383/715?

Answer: LCM of Numerators as per given numbers 263/946, 383/715 is

LCM of Numerators i.e. for 263,383 is 100729

GCF of denominators i.e. for 946,715 is 11.

Thus, LCM of Fractions is 100729/11.Finally, LCM of Fractions for 263/946, 383/715 is 100729/11.