Least Common Multiple of 7628/830, 5960/2163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7628/830, 5960/2163 quickly i.e. 11365720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7628/830, 5960/2163 is 11365720.

LCM(7628/830, 5960/2163) = 11365720

LCM of 7628/830, 5960/2163

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 7628/830,5960/2163

Given numbers are 7628/830,5960/2163

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 7628,5960

Least Common Multiple of Numerators i.e. LCM of 7628,5960 is 11365720.

GCF of Denominators means GCF of 830,2163 as per the given fractions.

GCF of 830,2163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7628,5960

LCM of Fractions 7628/830,5960/2163 is 11365720

2 7628, 5960
2 3814, 2980
1907, 1490

∴ So the LCM of the given numbers is 2 x 2 x 1907 x 1490 = 11365720

Least Common Multiple of 7628,5960 with GCF Formula

Least Common Multiple of 7628,5960 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 7628,5960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7628,5960) = 4

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

GCF(7628,5960) x common factors =4 x 1 = 4

LCM(7628,5960) = ( 7628 × 5960 ) / 4

LCM(7628,5960) = 45462880 / 4

LCM(7628,5960) = 11365720


Lets's calculate GCF of 830,2163

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11365720/1

Therefore the LCM of Fractions 7628/830,5960/2163 is 11365720

Greatest Common Factor of 830,2163 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,2163 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1,3,7,21,103,309,721,2163

Greatest Common Factor

We found the factors 830,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 830,2163 is 1.


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 7628/830, 5960/2163

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 7628/830, 5960/2163?

Answer: LCM of Numerators as per given numbers 7628/830, 5960/2163 is

LCM of Numerators i.e. for 7628,5960 is 11365720

GCF of denominators i.e. for 830,2163 is 1.

Thus, LCM of Fractions is 11365720.Finally, LCM of Fractions for 7628/830, 5960/2163 is 11365720.