Least Common Multiple of 33/280, 69/827, 971/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/280, 69/827, 971/629 quickly i.e. 736989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/280, 69/827, 971/629 is 736989.

LCM(33/280, 69/827, 971/629) = 736989

LCM of 33/280, 69/827, 971/629

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 33/280,69/827,971/629

Given numbers are 33/280,69/827,971/629

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 33,69,971

Least Common Multiple of Numerators i.e. LCM of 33,69,971 is 736989.

GCF of Denominators means GCF of 280,827,629 as per the given fractions.

GCF of 280,827,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,69,971

LCM of Fractions 33/280,69/827,971/629 is 736989

3 33, 69, 971
11, 23, 971

∴ So the LCM of the given numbers is 3 x 11 x 23 x 971 = 736989

Least Common Multiple of 33,69,971 with GCF Formula

Least Common Multiple of 33,69,971 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 33,69,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,69,971) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,69,971) x common factors =1 x 3 = 3

LCM(33,69,971) = ( 33 × 69 × 971 ) / 3

LCM(33,69,971) = 2210967 / 3

LCM(33,69,971) = 736989


Lets's calculate GCF of 280,827,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736989/1

Therefore the LCM of Fractions 33/280,69/827,971/629 is 736989

Greatest Common Factor of 280,827,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,827,629 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 280,827,629 . The biggest common factor number is the GCF number.
So the greatest common factor 280,827,629 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 33/280, 69/827, 971/629

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 33/280, 69/827, 971/629?

Answer: LCM of Numerators as per given numbers 33/280, 69/827, 971/629 is

LCM of Numerators i.e. for 33,69,971 is 736989

GCF of denominators i.e. for 280,827,629 is 1.

Thus, LCM of Fractions is 736989.Finally, LCM of Fractions for 33/280, 69/827, 971/629 is 736989.