Least Common Multiple of 276/33, 417/1700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/33, 417/1700 quickly i.e. 38364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/33, 417/1700 is 38364.

LCM(276/33, 417/1700) = 38364

LCM of 276/33, 417/1700

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 276/33,417/1700

Given numbers are 276/33,417/1700

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 276,417

Least Common Multiple of Numerators i.e. LCM of 276,417 is 38364.

GCF of Denominators means GCF of 33,1700 as per the given fractions.

GCF of 33,1700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,417

LCM of Fractions 276/33,417/1700 is 38364

3 276, 417
92, 139

∴ So the LCM of the given numbers is 3 x 92 x 139 = 38364

Least Common Multiple of 276,417 with GCF Formula

Least Common Multiple of 276,417 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 276,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,417) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(276,417) x common factors =3 x 1 = 3

LCM(276,417) = ( 276 × 417 ) / 3

LCM(276,417) = 115092 / 3

LCM(276,417) = 38364


Lets's calculate GCF of 33,1700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38364/1

Therefore the LCM of Fractions 276/33,417/1700 is 38364

Greatest Common Factor of 33,1700 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,1700 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Greatest Common Factor

We found the factors 33,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 33,1700 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 276/33, 417/1700

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 276/33, 417/1700?

Answer: LCM of Numerators as per given numbers 276/33, 417/1700 is

LCM of Numerators i.e. for 276,417 is 38364

GCF of denominators i.e. for 33,1700 is 1.

Thus, LCM of Fractions is 38364.Finally, LCM of Fractions for 276/33, 417/1700 is 38364.