Least Common Multiple of 692/286, 913/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/286, 913/658 quickly i.e. 315898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/286, 913/658 is 315898.

LCM(692/286, 913/658) = 315898

LCM of 692/286, 913/658

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 692/286,913/658

Given numbers are 692/286,913/658

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 692,913

Least Common Multiple of Numerators i.e. LCM of 692,913 is 631796.

GCF of Denominators means GCF of 286,658 as per the given fractions.

GCF of 286,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,913

LCM of Fractions 692/286,913/658 is 315898

Given numbers has no common factors except 1. So, there LCM is their product i.e 631796

Least Common Multiple of 692,913 with GCF Formula

Least Common Multiple of 692,913 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 692,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,913) = 1

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

GCF(692,913) x common factors =1 x 1 = 1

LCM(692,913) = ( 692 × 913 ) / 1

LCM(692,913) = 631796 / 1

LCM(692,913) = 631796


Lets's calculate GCF of 286,658

2 286, 658
143, 329

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 631796/2

Therefore the LCM of Fractions 692/286,913/658 is 315898

Greatest Common Factor of 286,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,658 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 286,658 . The biggest common factor number is the GCF number.
So the greatest common factor 286,658 is 2.


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 692/286, 913/658

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 692/286, 913/658?

Answer: LCM of Numerators as per given numbers 692/286, 913/658 is

LCM of Numerators i.e. for 692,913 is 631796

GCF of denominators i.e. for 286,658 is 2.

Thus, LCM of Fractions is 315898.Finally, LCM of Fractions for 692/286, 913/658 is 315898.