Least Common Multiple of 7741/868, 5990/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7741/868, 5990/890 quickly i.e. 23184295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7741/868, 5990/890 is 23184295.

LCM(7741/868, 5990/890) = 23184295

LCM of 7741/868, 5990/890

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 7741/868,5990/890

Given numbers are 7741/868,5990/890

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 7741,5990

Least Common Multiple of Numerators i.e. LCM of 7741,5990 is 46368590.

GCF of Denominators means GCF of 868,890 as per the given fractions.

GCF of 868,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7741,5990

LCM of Fractions 7741/868,5990/890 is 23184295

Given numbers has no common factors except 1. So, there LCM is their product i.e 46368590

Least Common Multiple of 7741,5990 with GCF Formula

Least Common Multiple of 7741,5990 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 7741,5990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7741,5990) = 1

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

GCF(7741,5990) x common factors =1 x 1 = 1

LCM(7741,5990) = ( 7741 × 5990 ) / 1

LCM(7741,5990) = 46368590 / 1

LCM(7741,5990) = 46368590


Lets's calculate GCF of 868,890

2 868, 890
434, 445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46368590/2

Therefore the LCM of Fractions 7741/868,5990/890 is 23184295

Greatest Common Factor of 868,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,890 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 868,890 . The biggest common factor number is the GCF number.
So the greatest common factor 868,890 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7741/868, 5990/890

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 7741/868, 5990/890?

Answer: LCM of Numerators as per given numbers 7741/868, 5990/890 is

LCM of Numerators i.e. for 7741,5990 is 46368590

GCF of denominators i.e. for 868,890 is 2.

Thus, LCM of Fractions is 23184295.Finally, LCM of Fractions for 7741/868, 5990/890 is 23184295.