Least Common Multiple of 36/66, 17/35, 71/76, 490/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/66, 17/35, 71/76, 490/17 quickly i.e. 10645740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/66, 17/35, 71/76, 490/17 is 10645740.

LCM(36/66, 17/35, 71/76, 490/17) = 10645740

LCM of 36/66, 17/35, 71/76, 490/17

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 36/66,17/35,71/76,490/17

Given numbers are 36/66,17/35,71/76,490/17

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 36,17,71,490

Least Common Multiple of Numerators i.e. LCM of 36,17,71,490 is 10645740.

GCF of Denominators means GCF of 66,35,76,17 as per the given fractions.

GCF of 66,35,76,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,17,71,490

LCM of Fractions 36/66,17/35,71/76,490/17 is 10645740

2 36, 17, 71, 490
18, 17, 71, 245

∴ So the LCM of the given numbers is 2 x 18 x 17 x 71 x 245 = 10645740

Least Common Multiple of 36,17,71,490 with GCF Formula

Least Common Multiple of 36,17,71,490 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 36,17,71,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,17,71,490) = 1

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

GCF(36,17,71,490) x common factors =1 x 2 = 2

LCM(36,17,71,490) = ( 36 × 17 × 71 × 490 ) / 2

LCM(36,17,71,490) = 21291480 / 2

LCM(36,17,71,490) = 10645740


Lets's calculate GCF of 66,35,76,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10645740/1

Therefore the LCM of Fractions 36/66,17/35,71/76,490/17 is 10645740

Greatest Common Factor of 66,35,76,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,35,76,17 By Matching Biggest Common Factor Method

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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 66,35,76,17 . The biggest common factor number is the GCF number.
So the greatest common factor 66,35,76,17 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 36/66, 17/35, 71/76, 490/17

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 36/66, 17/35, 71/76, 490/17?

Answer: LCM of Numerators as per given numbers 36/66, 17/35, 71/76, 490/17 is

LCM of Numerators i.e. for 36,17,71,490 is 10645740

GCF of denominators i.e. for 66,35,76,17 is 1.

Thus, LCM of Fractions is 10645740.Finally, LCM of Fractions for 36/66, 17/35, 71/76, 490/17 is 10645740.