Least Common Multiple of 509/452, 709/860, 223/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/452, 709/860, 223/691 quickly i.e. 80476463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/452, 709/860, 223/691 is 80476463.

LCM(509/452, 709/860, 223/691) = 80476463

LCM of 509/452, 709/860, 223/691

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 509/452,709/860,223/691

Given numbers are 509/452,709/860,223/691

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 509,709,223

Least Common Multiple of Numerators i.e. LCM of 509,709,223 is 80476463.

GCF of Denominators means GCF of 452,860,691 as per the given fractions.

GCF of 452,860,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,709,223

LCM of Fractions 509/452,709/860,223/691 is 80476463

Given numbers has no common factors except 1. So, there LCM is their product i.e 80476463

Least Common Multiple of 509,709,223 with GCF Formula

Least Common Multiple of 509,709,223 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 509,709,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,709,223) = 1

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

GCF(509,709,223) x common factors =1 x 1 = 1

LCM(509,709,223) = ( 509 × 709 × 223 ) / 1

LCM(509,709,223) = 80476463 / 1

LCM(509,709,223) = 80476463


Lets's calculate GCF of 452,860,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80476463/1

Therefore the LCM of Fractions 509/452,709/860,223/691 is 80476463

Greatest Common Factor of 452,860,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,860,691 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 452,860,691 . The biggest common factor number is the GCF number.
So the greatest common factor 452,860,691 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 509/452, 709/860, 223/691

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 509/452, 709/860, 223/691?

Answer: LCM of Numerators as per given numbers 509/452, 709/860, 223/691 is

LCM of Numerators i.e. for 509,709,223 is 80476463

GCF of denominators i.e. for 452,860,691 is 1.

Thus, LCM of Fractions is 80476463.Finally, LCM of Fractions for 509/452, 709/860, 223/691 is 80476463.