Least Common Multiple of 69/31, 465/66, 950/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/31, 465/66, 950/961 quickly i.e. 2032050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/31, 465/66, 950/961 is 2032050.

LCM(69/31, 465/66, 950/961) = 2032050

LCM of 69/31, 465/66, 950/961

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 69/31,465/66,950/961

Given numbers are 69/31,465/66,950/961

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 69,465,950

Least Common Multiple of Numerators i.e. LCM of 69,465,950 is 2032050.

GCF of Denominators means GCF of 31,66,961 as per the given fractions.

GCF of 31,66,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,465,950

LCM of Fractions 69/31,465/66,950/961 is 2032050

3 69, 465, 950
5 23, 155, 950
23, 31, 190

∴ So the LCM of the given numbers is 3 x 5 x 23 x 31 x 190 = 2032050

Least Common Multiple of 69,465,950 with GCF Formula

Least Common Multiple of 69,465,950 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 69,465,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,465,950) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(69,465,950) x common factors =1 x 15 = 15

LCM(69,465,950) = ( 69 × 465 × 950 ) / 15

LCM(69,465,950) = 30480750 / 15

LCM(69,465,950) = 2032050


Lets's calculate GCF of 31,66,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2032050/1

Therefore the LCM of Fractions 69/31,465/66,950/961 is 2032050

Greatest Common Factor of 31,66,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,66,961 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 31,66,961 . The biggest common factor number is the GCF number.
So the greatest common factor 31,66,961 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 69/31, 465/66, 950/961

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 69/31, 465/66, 950/961?

Answer: LCM of Numerators as per given numbers 69/31, 465/66, 950/961 is

LCM of Numerators i.e. for 69,465,950 is 2032050

GCF of denominators i.e. for 31,66,961 is 1.

Thus, LCM of Fractions is 2032050.Finally, LCM of Fractions for 69/31, 465/66, 950/961 is 2032050.