Least Common Multiple of 30/676, 31/602, 582/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/676, 31/602, 582/610 quickly i.e. 45105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/676, 31/602, 582/610 is 45105.

LCM(30/676, 31/602, 582/610) = 45105

LCM of 30/676, 31/602, 582/610

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 30/676,31/602,582/610

Given numbers are 30/676,31/602,582/610

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 30,31,582

Least Common Multiple of Numerators i.e. LCM of 30,31,582 is 90210.

GCF of Denominators means GCF of 676,602,610 as per the given fractions.

GCF of 676,602,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,31,582

LCM of Fractions 30/676,31/602,582/610 is 45105

2 30, 31, 582
3 15, 31, 291
5, 31, 97

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 97 = 90210

Least Common Multiple of 30,31,582 with GCF Formula

Least Common Multiple of 30,31,582 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 30,31,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,31,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,31,582) x common factors =1 x 6 = 6

LCM(30,31,582) = ( 30 × 31 × 582 ) / 6

LCM(30,31,582) = 541260 / 6

LCM(30,31,582) = 90210


Lets's calculate GCF of 676,602,610

2 676, 602, 610
338, 301, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90210/2

Therefore the LCM of Fractions 30/676,31/602,582/610 is 45105

Greatest Common Factor of 676,602,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,602,610 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 676,602,610 . The biggest common factor number is the GCF number.
So the greatest common factor 676,602,610 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 30/676, 31/602, 582/610

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 30/676, 31/602, 582/610?

Answer: LCM of Numerators as per given numbers 30/676, 31/602, 582/610 is

LCM of Numerators i.e. for 30,31,582 is 90210

GCF of denominators i.e. for 676,602,610 is 2.

Thus, LCM of Fractions is 45105.Finally, LCM of Fractions for 30/676, 31/602, 582/610 is 45105.