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LCM of 570, 142, 912, 994

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


Find the LCM of 570, 142, 912, 994 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 570, 142, 912, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,142,912,994

Given numbers are 570,142,912,994

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

The LCM of 570,142,912,994 is 2266320.

Find LCM of 570,142,912,994 with Prime Factorization


2 570, 142, 912, 994
3 285, 71, 456, 497
19 95, 71, 152, 497
71 5, 71, 8, 497
5, 1, 8, 7

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

2 x 3 x 19 x 71 x 5 x 1 x 8 x 7 = 2266320

Therefore, the lowest common multiple of 570,142,912,994 is 2266320.

LCM Formula to Find Lowest Common Multiple of 570,142,912,994

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.

570 x 142 x 912 x 994 = 73374376320

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

142 : 1, 2, 71, 142

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,142,912,994, is 2.

Now, the common factors can be found like this.

570:2x 3x 5x 19

142:2x 71

912:2x 2x 2x 2x 3x 19

994:2x 7x 71

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 19x 71 = 16188

Therefore, the value for common factors is 16188.

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 = 73374376320/(2x16188)

LCM = 73374376320/32376

LCM = 2266320

Thus, we can understand that the LCM of 570,142,912,994 is 2266320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 142, 912, 994

1. What is the LCM of 570, 142, 912, 994?

Answer: LCM of 570, 142, 912, 994 is 2266320.

2. How to calculate the LCM of 570, 142, 912, 994?

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 570, 142, 912, 994.

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}.