Least Common Multiple of 9610/364, 3822/5580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9610/364, 3822/5580 quickly i.e. 18364710/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9610/364, 3822/5580 is 18364710/4.

LCM(9610/364, 3822/5580) = 18364710/4

LCM of 9610/364, 3822/5580

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 9610/364,3822/5580

Given numbers are 9610/364,3822/5580

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 9610,3822

Least Common Multiple of Numerators i.e. LCM of 9610,3822 is 18364710.

GCF of Denominators means GCF of 364,5580 as per the given fractions.

GCF of 364,5580 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9610,3822

LCM of Fractions 9610/364,3822/5580 is 18364710/4

2 9610, 3822
4805, 1911

∴ So the LCM of the given numbers is 2 x 4805 x 1911 = 18364710

Least Common Multiple of 9610,3822 with GCF Formula

Least Common Multiple of 9610,3822 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 9610,3822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9610,3822) = 2

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

GCF(9610,3822) x common factors =2 x 1 = 2

LCM(9610,3822) = ( 9610 × 3822 ) / 2

LCM(9610,3822) = 36729420 / 2

LCM(9610,3822) = 18364710


Lets's calculate GCF of 364,5580

2 364, 5580
2 182, 2790
91, 1395

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18364710/4

Therefore the LCM of Fractions 9610/364,3822/5580 is 18364710/4

Greatest Common Factor of 364,5580 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,5580 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Greatest Common Factor

We found the factors 364,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 364,5580 is 4.


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 9610/364, 3822/5580

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 9610/364, 3822/5580?

Answer: LCM of Numerators as per given numbers 9610/364, 3822/5580 is

LCM of Numerators i.e. for 9610,3822 is 18364710

GCF of denominators i.e. for 364,5580 is 4.

Thus, LCM of Fractions is 18364710/4.Finally, LCM of Fractions for 9610/364, 3822/5580 is 18364710/4.