Least Common Multiple of 10/590, 26/496, 948/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/590, 26/496, 948/390 quickly i.e. 30810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/590, 26/496, 948/390 is 30810.

LCM(10/590, 26/496, 948/390) = 30810

LCM of 10/590, 26/496, 948/390

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 10/590,26/496,948/390

Given numbers are 10/590,26/496,948/390

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 10,26,948

Least Common Multiple of Numerators i.e. LCM of 10,26,948 is 61620.

GCF of Denominators means GCF of 590,496,390 as per the given fractions.

GCF of 590,496,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,26,948

LCM of Fractions 10/590,26/496,948/390 is 30810

2 10, 26, 948
5, 13, 474

∴ So the LCM of the given numbers is 2 x 5 x 13 x 474 = 61620

Least Common Multiple of 10,26,948 with GCF Formula

Least Common Multiple of 10,26,948 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 10,26,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,26,948) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,26,948) x common factors =2 x 2 = 4

LCM(10,26,948) = ( 10 × 26 × 948 ) / 4

LCM(10,26,948) = 246480 / 4

LCM(10,26,948) = 61620


Lets's calculate GCF of 590,496,390

2 590, 496, 390
295, 248, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61620/2

Therefore the LCM of Fractions 10/590,26/496,948/390 is 30810

Greatest Common Factor of 590,496,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,496,390 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 590,496,390 . The biggest common factor number is the GCF number.
So the greatest common factor 590,496,390 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 10/590, 26/496, 948/390

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 10/590, 26/496, 948/390?

Answer: LCM of Numerators as per given numbers 10/590, 26/496, 948/390 is

LCM of Numerators i.e. for 10,26,948 is 61620

GCF of denominators i.e. for 590,496,390 is 2.

Thus, LCM of Fractions is 30810.Finally, LCM of Fractions for 10/590, 26/496, 948/390 is 30810.