Least Common Multiple of 8263/290, 1884/7770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8263/290, 1884/7770 quickly i.e. 15567492/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8263/290, 1884/7770 is 15567492/10.

LCM(8263/290, 1884/7770) = 15567492/10

LCM of 8263/290, 1884/7770

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 8263/290,1884/7770

Given numbers are 8263/290,1884/7770

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 8263,1884

Least Common Multiple of Numerators i.e. LCM of 8263,1884 is 15567492.

GCF of Denominators means GCF of 290,7770 as per the given fractions.

GCF of 290,7770 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8263,1884

LCM of Fractions 8263/290,1884/7770 is 15567492/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 15567492

Least Common Multiple of 8263,1884 with GCF Formula

Least Common Multiple of 8263,1884 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 8263,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8263,1884) = 1

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

GCF(8263,1884) x common factors =1 x 1 = 1

LCM(8263,1884) = ( 8263 × 1884 ) / 1

LCM(8263,1884) = 15567492 / 1

LCM(8263,1884) = 15567492


Lets's calculate GCF of 290,7770

2 290, 7770
5 145, 3885
29, 777

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15567492/10

Therefore the LCM of Fractions 8263/290,1884/7770 is 15567492/10

Greatest Common Factor of 290,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,7770 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 290,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 290,7770 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8263/290, 1884/7770

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 8263/290, 1884/7770?

Answer: LCM of Numerators as per given numbers 8263/290, 1884/7770 is

LCM of Numerators i.e. for 8263,1884 is 15567492

GCF of denominators i.e. for 290,7770 is 10.

Thus, LCM of Fractions is 15567492/10.Finally, LCM of Fractions for 8263/290, 1884/7770 is 15567492/10.