Least Common Multiple of 6880/528, 4116/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6880/528, 4116/660 quickly i.e. 7079520/132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6880/528, 4116/660 is 7079520/132.

LCM(6880/528, 4116/660) = 7079520/132

LCM of 6880/528, 4116/660

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 6880/528,4116/660

Given numbers are 6880/528,4116/660

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 6880,4116

Least Common Multiple of Numerators i.e. LCM of 6880,4116 is 7079520.

GCF of Denominators means GCF of 528,660 as per the given fractions.

GCF of 528,660 is 132 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6880,4116

LCM of Fractions 6880/528,4116/660 is 7079520/132

2 6880, 4116
2 3440, 2058
1720, 1029

∴ So the LCM of the given numbers is 2 x 2 x 1720 x 1029 = 7079520

Least Common Multiple of 6880,4116 with GCF Formula

Least Common Multiple of 6880,4116 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 6880,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6880,4116) = 4

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

GCF(6880,4116) x common factors =4 x 1 = 4

LCM(6880,4116) = ( 6880 × 4116 ) / 4

LCM(6880,4116) = 28318080 / 4

LCM(6880,4116) = 7079520


Lets's calculate GCF of 528,660

2 528, 660
2 264, 330
3 132, 165
11 44, 55
4, 5

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7079520/132

Therefore the LCM of Fractions 6880/528,4116/660 is 7079520/132

Greatest Common Factor of 528,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,660 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 528,660 . The biggest common factor number is the GCF number.
So the greatest common factor 528,660 is 132.


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 6880/528, 4116/660

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 6880/528, 4116/660?

Answer: LCM of Numerators as per given numbers 6880/528, 4116/660 is

LCM of Numerators i.e. for 6880,4116 is 7079520

GCF of denominators i.e. for 528,660 is 132.

Thus, LCM of Fractions is 7079520/132.Finally, LCM of Fractions for 6880/528, 4116/660 is 7079520/132.