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LCM of 242, 770, 483, 973, 336

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


Find the LCM of 242, 770, 483, 973, 336 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, 770, 483, 973, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,770,483,973,336

Given numbers are 242,770,483,973,336

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

The LCM of 242,770,483,973,336 is 649886160.

Find LCM of 242,770,483,973,336 with Prime Factorization


2 242, 770, 483, 973, 336
3 121, 385, 483, 973, 168
7 121, 385, 161, 973, 56
11 121, 55, 23, 139, 8
11, 5, 23, 139, 8

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

2 x 3 x 7 x 11 x 11 x 5 x 23 x 139 x 8 = 649886160

Therefore, the lowest common multiple of 242,770,483,973,336 is 649886160.

LCM Formula to Find Lowest Common Multiple of 242,770,483,973,336

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 770 x 483 x 973 x 336 = 29424245780160

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

483 : 1, 3, 7, 21, 23, 69, 161, 483

973 : 1, 7, 139, 973

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,770,483,973,336, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

770:2x 5x 7x 11

483:3x 7x 23

973:7x 139

336:2x 2x 2x 2x 3x 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 3x 7x 7x 7x 11 = 45276

Therefore, the value for common factors is 45276.

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 = 29424245780160/(1x45276)

LCM = 29424245780160/45276

LCM = 649886160

Thus, we can understand that the LCM of 242,770,483,973,336 is 649886160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 770, 483, 973, 336

1. What is the LCM of 242, 770, 483, 973, 336?

Answer: LCM of 242, 770, 483, 973, 336 is 649886160.

2. How to calculate the LCM of 242, 770, 483, 973, 336?

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, 770, 483, 973, 336.

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}.