Least Common Multiple of 5380/96, 6605/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5380/96, 6605/682 quickly i.e. 3553490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5380/96, 6605/682 is 3553490.

LCM(5380/96, 6605/682) = 3553490

LCM of 5380/96, 6605/682

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 5380/96,6605/682

Given numbers are 5380/96,6605/682

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 5380,6605

Least Common Multiple of Numerators i.e. LCM of 5380,6605 is 7106980.

GCF of Denominators means GCF of 96,682 as per the given fractions.

GCF of 96,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5380,6605

LCM of Fractions 5380/96,6605/682 is 3553490

5 5380, 6605
1076, 1321

∴ So the LCM of the given numbers is 5 x 1076 x 1321 = 7106980

Least Common Multiple of 5380,6605 with GCF Formula

Least Common Multiple of 5380,6605 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 5380,6605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5380,6605) = 5

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

GCF(5380,6605) x common factors =5 x 1 = 5

LCM(5380,6605) = ( 5380 × 6605 ) / 5

LCM(5380,6605) = 35534900 / 5

LCM(5380,6605) = 7106980


Lets's calculate GCF of 96,682

2 96, 682
48, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7106980/2

Therefore the LCM of Fractions 5380/96,6605/682 is 3553490

Greatest Common Factor of 96,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,682 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 96,682 . The biggest common factor number is the GCF number.
So the greatest common factor 96,682 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 5380/96, 6605/682

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 5380/96, 6605/682?

Answer: LCM of Numerators as per given numbers 5380/96, 6605/682 is

LCM of Numerators i.e. for 5380,6605 is 7106980

GCF of denominators i.e. for 96,682 is 2.

Thus, LCM of Fractions is 3553490.Finally, LCM of Fractions for 5380/96, 6605/682 is 3553490.