Least Common Multiple of 7773/560, 4951/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7773/560, 4951/580 quickly i.e. 38484123/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7773/560, 4951/580 is 38484123/20.

LCM(7773/560, 4951/580) = 38484123/20

LCM of 7773/560, 4951/580

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 7773/560,4951/580

Given numbers are 7773/560,4951/580

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 7773,4951

Least Common Multiple of Numerators i.e. LCM of 7773,4951 is 38484123.

GCF of Denominators means GCF of 560,580 as per the given fractions.

GCF of 560,580 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7773,4951

LCM of Fractions 7773/560,4951/580 is 38484123/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 38484123

Least Common Multiple of 7773,4951 with GCF Formula

Least Common Multiple of 7773,4951 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 7773,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7773,4951) = 1

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

GCF(7773,4951) x common factors =1 x 1 = 1

LCM(7773,4951) = ( 7773 × 4951 ) / 1

LCM(7773,4951) = 38484123 / 1

LCM(7773,4951) = 38484123


Lets's calculate GCF of 560,580

2 560, 580
2 280, 290
5 140, 145
28, 29

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38484123/20

Therefore the LCM of Fractions 7773/560,4951/580 is 38484123/20

Greatest Common Factor of 560,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,580 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 560,580 . The biggest common factor number is the GCF number.
So the greatest common factor 560,580 is 20.


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 7773/560, 4951/580

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 7773/560, 4951/580?

Answer: LCM of Numerators as per given numbers 7773/560, 4951/580 is

LCM of Numerators i.e. for 7773,4951 is 38484123

GCF of denominators i.e. for 560,580 is 20.

Thus, LCM of Fractions is 38484123/20.Finally, LCM of Fractions for 7773/560, 4951/580 is 38484123/20.