Least Common Multiple of 805/464, 710/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/464, 710/562 quickly i.e. 57155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/464, 710/562 is 57155.

LCM(805/464, 710/562) = 57155

LCM of 805/464, 710/562

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 805/464,710/562

Given numbers are 805/464,710/562

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 805,710

Least Common Multiple of Numerators i.e. LCM of 805,710 is 114310.

GCF of Denominators means GCF of 464,562 as per the given fractions.

GCF of 464,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,710

LCM of Fractions 805/464,710/562 is 57155

5 805, 710
161, 142

∴ So the LCM of the given numbers is 5 x 161 x 142 = 114310

Least Common Multiple of 805,710 with GCF Formula

Least Common Multiple of 805,710 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 805,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,710) = 5

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

GCF(805,710) x common factors =5 x 1 = 5

LCM(805,710) = ( 805 × 710 ) / 5

LCM(805,710) = 571550 / 5

LCM(805,710) = 114310


Lets's calculate GCF of 464,562

2 464, 562
232, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114310/2

Therefore the LCM of Fractions 805/464,710/562 is 57155

Greatest Common Factor of 464,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,562 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 464,562 . The biggest common factor number is the GCF number.
So the greatest common factor 464,562 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 805/464, 710/562

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 805/464, 710/562?

Answer: LCM of Numerators as per given numbers 805/464, 710/562 is

LCM of Numerators i.e. for 805,710 is 114310

GCF of denominators i.e. for 464,562 is 2.

Thus, LCM of Fractions is 57155.Finally, LCM of Fractions for 805/464, 710/562 is 57155.