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LCM of 242, 216, 440, 147

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 242, 216, 440, 147 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 242, 216, 440, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,216,440,147

Given numbers are 242,216,440,147

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 242,216,440,147 is 6403320.

Find LCM of 242,216,440,147 with Prime Factorization


2 242, 216, 440, 147
2 121, 108, 220, 147
2 121, 54, 110, 147
3 121, 27, 55, 147
11 121, 9, 55, 49
11, 9, 5, 49

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 11 x 11 x 9 x 5 x 49 = 6403320

Therefore, the lowest common multiple of 242,216,440,147 is 6403320.

LCM Formula to Find Lowest Common Multiple of 242,216,440,147

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

242 x 216 x 440 x 147 = 3380952960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

242 : 1, 2, 11, 22, 121, 242

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,216,440,147, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

216:2x 2x 2x 3x 3x 3

440:2x 2x 2x 5x 11

147:3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3380952960/(1x528)

LCM = 3380952960/528

LCM = 6403320

Thus, we can understand that the LCM of 242,216,440,147 is 6403320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 216, 440, 147

1. What is the LCM of 242, 216, 440, 147?

Answer: LCM of 242, 216, 440, 147 is 6403320.

2. How to calculate the LCM of 242, 216, 440, 147?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 242, 216, 440, 147.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.