Least Common Multiple of 70/75, 499/23, 211/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/75, 499/23, 211/680 quickly i.e. 7370230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/75, 499/23, 211/680 is 7370230.

LCM(70/75, 499/23, 211/680) = 7370230

LCM of 70/75, 499/23, 211/680

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 70/75,499/23,211/680

Given numbers are 70/75,499/23,211/680

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 70,499,211

Least Common Multiple of Numerators i.e. LCM of 70,499,211 is 7370230.

GCF of Denominators means GCF of 75,23,680 as per the given fractions.

GCF of 75,23,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,499,211

LCM of Fractions 70/75,499/23,211/680 is 7370230

Given numbers has no common factors except 1. So, there LCM is their product i.e 7370230

Least Common Multiple of 70,499,211 with GCF Formula

Least Common Multiple of 70,499,211 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 70,499,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,499,211) = 1

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

GCF(70,499,211) x common factors =1 x 1 = 1

LCM(70,499,211) = ( 70 × 499 × 211 ) / 1

LCM(70,499,211) = 7370230 / 1

LCM(70,499,211) = 7370230


Lets's calculate GCF of 75,23,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7370230/1

Therefore the LCM of Fractions 70/75,499/23,211/680 is 7370230

Greatest Common Factor of 75,23,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,23,680 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 75,23,680 . The biggest common factor number is the GCF number.
So the greatest common factor 75,23,680 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 70/75, 499/23, 211/680

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 70/75, 499/23, 211/680?

Answer: LCM of Numerators as per given numbers 70/75, 499/23, 211/680 is

LCM of Numerators i.e. for 70,499,211 is 7370230

GCF of denominators i.e. for 75,23,680 is 1.

Thus, LCM of Fractions is 7370230.Finally, LCM of Fractions for 70/75, 499/23, 211/680 is 7370230.