Least Common Multiple of 530/62, 956/23, 998/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/62, 956/23, 998/961 quickly i.e. 126416660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/62, 956/23, 998/961 is 126416660.

LCM(530/62, 956/23, 998/961) = 126416660

LCM of 530/62, 956/23, 998/961

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 530/62,956/23,998/961

Given numbers are 530/62,956/23,998/961

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 530,956,998

Least Common Multiple of Numerators i.e. LCM of 530,956,998 is 126416660.

GCF of Denominators means GCF of 62,23,961 as per the given fractions.

GCF of 62,23,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,956,998

LCM of Fractions 530/62,956/23,998/961 is 126416660

2 530, 956, 998
265, 478, 499

∴ So the LCM of the given numbers is 2 x 265 x 478 x 499 = 126416660

Least Common Multiple of 530,956,998 with GCF Formula

Least Common Multiple of 530,956,998 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 530,956,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,956,998) = 2

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

GCF(530,956,998) x common factors =2 x 2 = 4

LCM(530,956,998) = ( 530 × 956 × 998 ) / 4

LCM(530,956,998) = 505666640 / 4

LCM(530,956,998) = 126416660


Lets's calculate GCF of 62,23,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126416660/1

Therefore the LCM of Fractions 530/62,956/23,998/961 is 126416660

Greatest Common Factor of 62,23,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,23,961 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 62,23,961 . The biggest common factor number is the GCF number.
So the greatest common factor 62,23,961 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 530/62, 956/23, 998/961

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 530/62, 956/23, 998/961?

Answer: LCM of Numerators as per given numbers 530/62, 956/23, 998/961 is

LCM of Numerators i.e. for 530,956,998 is 126416660

GCF of denominators i.e. for 62,23,961 is 1.

Thus, LCM of Fractions is 126416660.Finally, LCM of Fractions for 530/62, 956/23, 998/961 is 126416660.