Least Common Multiple of 696/493, 8264/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/493, 8264/582 quickly i.e. 718968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/493, 8264/582 is 718968.

LCM(696/493, 8264/582) = 718968

LCM of 696/493, 8264/582

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 696/493,8264/582

Given numbers are 696/493,8264/582

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 696,8264

Least Common Multiple of Numerators i.e. LCM of 696,8264 is 718968.

GCF of Denominators means GCF of 493,582 as per the given fractions.

GCF of 493,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,8264

LCM of Fractions 696/493,8264/582 is 718968

2 696, 8264
2 348, 4132
2 174, 2066
87, 1033

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 1033 = 718968

Least Common Multiple of 696,8264 with GCF Formula

Least Common Multiple of 696,8264 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 696,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,8264) = 8

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

GCF(696,8264) x common factors =8 x 1 = 8

LCM(696,8264) = ( 696 × 8264 ) / 8

LCM(696,8264) = 5751744 / 8

LCM(696,8264) = 718968


Lets's calculate GCF of 493,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 718968/1

Therefore the LCM of Fractions 696/493,8264/582 is 718968

Greatest Common Factor of 493,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,582 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 493,582 . The biggest common factor number is the GCF number.
So the greatest common factor 493,582 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 696/493, 8264/582

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 696/493, 8264/582?

Answer: LCM of Numerators as per given numbers 696/493, 8264/582 is

LCM of Numerators i.e. for 696,8264 is 718968

GCF of denominators i.e. for 493,582 is 1.

Thus, LCM of Fractions is 718968.Finally, LCM of Fractions for 696/493, 8264/582 is 718968.