Least Common Multiple of 3441/610, 4221/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3441/610, 4221/680 quickly i.e. 4841487/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3441/610, 4221/680 is 4841487/10.

LCM(3441/610, 4221/680) = 4841487/10

LCM of 3441/610, 4221/680

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 3441/610,4221/680

Given numbers are 3441/610,4221/680

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 3441,4221

Least Common Multiple of Numerators i.e. LCM of 3441,4221 is 4841487.

GCF of Denominators means GCF of 610,680 as per the given fractions.

GCF of 610,680 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3441,4221

LCM of Fractions 3441/610,4221/680 is 4841487/10

3 3441, 4221
1147, 1407

∴ So the LCM of the given numbers is 3 x 1147 x 1407 = 4841487

Least Common Multiple of 3441,4221 with GCF Formula

Least Common Multiple of 3441,4221 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 3441,4221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3441,4221) = 3

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

GCF(3441,4221) x common factors =3 x 1 = 3

LCM(3441,4221) = ( 3441 × 4221 ) / 3

LCM(3441,4221) = 14524461 / 3

LCM(3441,4221) = 4841487


Lets's calculate GCF of 610,680

2 610, 680
5 305, 340
61, 68

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4841487/10

Therefore the LCM of Fractions 3441/610,4221/680 is 4841487/10

Greatest Common Factor of 610,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,680 By Matching Biggest Common Factor Method

Factors of 610

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

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

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 610,680 . The biggest common factor number is the GCF number.
So the greatest common factor 610,680 is 10.


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 3441/610, 4221/680

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 3441/610, 4221/680?

Answer: LCM of Numerators as per given numbers 3441/610, 4221/680 is

LCM of Numerators i.e. for 3441,4221 is 4841487

GCF of denominators i.e. for 610,680 is 10.

Thus, LCM of Fractions is 4841487/10.Finally, LCM of Fractions for 3441/610, 4221/680 is 4841487/10.