Least Common Multiple of 10/150, 123/841, 533/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/150, 123/841, 533/790 quickly i.e. 15990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/150, 123/841, 533/790 is 15990.

LCM(10/150, 123/841, 533/790) = 15990

LCM of 10/150, 123/841, 533/790

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 10/150,123/841,533/790

Given numbers are 10/150,123/841,533/790

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 10,123,533

Least Common Multiple of Numerators i.e. LCM of 10,123,533 is 15990.

GCF of Denominators means GCF of 150,841,790 as per the given fractions.

GCF of 150,841,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,123,533

LCM of Fractions 10/150,123/841,533/790 is 15990

41 10, 123, 533
10, 3, 13

∴ So the LCM of the given numbers is 41 x 10 x 3 x 13 = 15990

Least Common Multiple of 10,123,533 with GCF Formula

Least Common Multiple of 10,123,533 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 10,123,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,123,533) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(10,123,533) x common factors =1 x 41 = 41

LCM(10,123,533) = ( 10 × 123 × 533 ) / 41

LCM(10,123,533) = 655590 / 41

LCM(10,123,533) = 15990


Lets's calculate GCF of 150,841,790

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15990/1

Therefore the LCM of Fractions 10/150,123/841,533/790 is 15990

Greatest Common Factor of 150,841,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,841,790 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 150,841,790 . The biggest common factor number is the GCF number.
So the greatest common factor 150,841,790 is 1.


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 10/150, 123/841, 533/790

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 10/150, 123/841, 533/790?

Answer: LCM of Numerators as per given numbers 10/150, 123/841, 533/790 is

LCM of Numerators i.e. for 10,123,533 is 15990

GCF of denominators i.e. for 150,841,790 is 1.

Thus, LCM of Fractions is 15990.Finally, LCM of Fractions for 10/150, 123/841, 533/790 is 15990.