Least Common Multiple of 3680/860, 7224/5710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3680/860, 7224/5710 quickly i.e. 332304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3680/860, 7224/5710 is 332304.

LCM(3680/860, 7224/5710) = 332304

LCM of 3680/860, 7224/5710

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 3680/860,7224/5710

Given numbers are 3680/860,7224/5710

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 3680,7224

Least Common Multiple of Numerators i.e. LCM of 3680,7224 is 3323040.

GCF of Denominators means GCF of 860,5710 as per the given fractions.

GCF of 860,5710 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3680,7224

LCM of Fractions 3680/860,7224/5710 is 332304

2 3680, 7224
2 1840, 3612
2 920, 1806
460, 903

∴ So the LCM of the given numbers is 2 x 2 x 2 x 460 x 903 = 3323040

Least Common Multiple of 3680,7224 with GCF Formula

Least Common Multiple of 3680,7224 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 3680,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3680,7224) = 8

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

GCF(3680,7224) x common factors =8 x 1 = 8

LCM(3680,7224) = ( 3680 × 7224 ) / 8

LCM(3680,7224) = 26584320 / 8

LCM(3680,7224) = 3323040


Lets's calculate GCF of 860,5710

2 860, 5710
5 430, 2855
86, 571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3323040/10

Therefore the LCM of Fractions 3680/860,7224/5710 is 332304

Greatest Common Factor of 860,5710 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,5710 By Matching Biggest Common Factor Method

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 5710

List of positive integer factors of 5710 that divides 5710 without a remainder.

1,2,5,10,571,1142,2855,5710

Greatest Common Factor

We found the factors 860,5710 . The biggest common factor number is the GCF number.
So the greatest common factor 860,5710 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 3680/860, 7224/5710

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 3680/860, 7224/5710?

Answer: LCM of Numerators as per given numbers 3680/860, 7224/5710 is

LCM of Numerators i.e. for 3680,7224 is 3323040

GCF of denominators i.e. for 860,5710 is 10.

Thus, LCM of Fractions is 332304.Finally, LCM of Fractions for 3680/860, 7224/5710 is 332304.