Least Common Multiple of 63/528, 3180/1760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/528, 3180/1760 quickly i.e. 66780/176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/528, 3180/1760 is 66780/176.

LCM(63/528, 3180/1760) = 66780/176

LCM of 63/528, 3180/1760

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 63/528,3180/1760

Given numbers are 63/528,3180/1760

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 63,3180

Least Common Multiple of Numerators i.e. LCM of 63,3180 is 66780.

GCF of Denominators means GCF of 528,1760 as per the given fractions.

GCF of 528,1760 is 176 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,3180

LCM of Fractions 63/528,3180/1760 is 66780/176

3 63, 3180
21, 1060

∴ So the LCM of the given numbers is 3 x 21 x 1060 = 66780

Least Common Multiple of 63,3180 with GCF Formula

Least Common Multiple of 63,3180 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 63,3180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,3180) = 3

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

GCF(63,3180) x common factors =3 x 1 = 3

LCM(63,3180) = ( 63 × 3180 ) / 3

LCM(63,3180) = 200340 / 3

LCM(63,3180) = 66780


Lets's calculate GCF of 528,1760

2 528, 1760
2 264, 880
2 132, 440
2 66, 220
11 33, 110
3, 10

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66780/176

Therefore the LCM of Fractions 63/528,3180/1760 is 66780/176

Greatest Common Factor of 528,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,1760 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 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors 528,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 528,1760 is 176.


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 63/528, 3180/1760

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 63/528, 3180/1760?

Answer: LCM of Numerators as per given numbers 63/528, 3180/1760 is

LCM of Numerators i.e. for 63,3180 is 66780

GCF of denominators i.e. for 528,1760 is 176.

Thus, LCM of Fractions is 66780/176.Finally, LCM of Fractions for 63/528, 3180/1760 is 66780/176.