Least Common Multiple of 780/360, 4530/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/360, 4530/554 quickly i.e. 58890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/360, 4530/554 is 58890.

LCM(780/360, 4530/554) = 58890

LCM of 780/360, 4530/554

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 780/360,4530/554

Given numbers are 780/360,4530/554

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 780,4530

Least Common Multiple of Numerators i.e. LCM of 780,4530 is 117780.

GCF of Denominators means GCF of 360,554 as per the given fractions.

GCF of 360,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,4530

LCM of Fractions 780/360,4530/554 is 58890

2 780, 4530
3 390, 2265
5 130, 755
26, 151

∴ So the LCM of the given numbers is 2 x 3 x 5 x 26 x 151 = 117780

Least Common Multiple of 780,4530 with GCF Formula

Least Common Multiple of 780,4530 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 780,4530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,4530) = 30

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

GCF(780,4530) x common factors =30 x 1 = 30

LCM(780,4530) = ( 780 × 4530 ) / 30

LCM(780,4530) = 3533400 / 30

LCM(780,4530) = 117780


Lets's calculate GCF of 360,554

2 360, 554
180, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117780/2

Therefore the LCM of Fractions 780/360,4530/554 is 58890

Greatest Common Factor of 360,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,554 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 360,554 . The biggest common factor number is the GCF number.
So the greatest common factor 360,554 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 780/360, 4530/554

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 780/360, 4530/554?

Answer: LCM of Numerators as per given numbers 780/360, 4530/554 is

LCM of Numerators i.e. for 780,4530 is 117780

GCF of denominators i.e. for 360,554 is 2.

Thus, LCM of Fractions is 58890.Finally, LCM of Fractions for 780/360, 4530/554 is 58890.