Least Common Multiple of 612/997, 810/258, 303/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/997, 810/258, 303/210 quickly i.e. 2781540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/997, 810/258, 303/210 is 2781540.

LCM(612/997, 810/258, 303/210) = 2781540

LCM of 612/997, 810/258, 303/210

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 612/997,810/258,303/210

Given numbers are 612/997,810/258,303/210

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 612,810,303

Least Common Multiple of Numerators i.e. LCM of 612,810,303 is 2781540.

GCF of Denominators means GCF of 997,258,210 as per the given fractions.

GCF of 997,258,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,810,303

LCM of Fractions 612/997,810/258,303/210 is 2781540

2 612, 810, 303
3 306, 405, 303
3 102, 135, 101
34, 45, 101

∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 45 x 101 = 2781540

Least Common Multiple of 612,810,303 with GCF Formula

Least Common Multiple of 612,810,303 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 612,810,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,810,303) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(612,810,303) x common factors =3 x 18 = 54

LCM(612,810,303) = ( 612 × 810 × 303 ) / 54

LCM(612,810,303) = 150203160 / 54

LCM(612,810,303) = 2781540


Lets's calculate GCF of 997,258,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2781540/1

Therefore the LCM of Fractions 612/997,810/258,303/210 is 2781540

Greatest Common Factor of 997,258,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,258,210 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 997,258,210 . The biggest common factor number is the GCF number.
So the greatest common factor 997,258,210 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 612/997, 810/258, 303/210

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 612/997, 810/258, 303/210?

Answer: LCM of Numerators as per given numbers 612/997, 810/258, 303/210 is

LCM of Numerators i.e. for 612,810,303 is 2781540

GCF of denominators i.e. for 997,258,210 is 1.

Thus, LCM of Fractions is 2781540.Finally, LCM of Fractions for 612/997, 810/258, 303/210 is 2781540.