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LCM of 930, 901, 612, 583

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


Find the LCM of 930, 901, 612, 583 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 930, 901, 612, 583. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,901,612,583

Given numbers are 930,901,612,583

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

The LCM of 930,901,612,583 is 55303380.

Find LCM of 930,901,612,583 with Prime Factorization


2 930, 901, 612, 583
3 465, 901, 306, 583
17 155, 901, 102, 583
53 155, 53, 6, 583
155, 1, 6, 11

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

2 x 3 x 17 x 53 x 155 x 1 x 6 x 11 = 55303380

Therefore, the lowest common multiple of 930,901,612,583 is 55303380.

LCM Formula to Find Lowest Common Multiple of 930,901,612,583

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.

930 x 901 x 612 x 583 = 298970072280

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

901 : 1, 17, 53, 901

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,901,612,583, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

901:17x 53

612:2x 2x 3x 3x 17

583:11x 53

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

2x 3x 17x 53 = 5406

Therefore, the value for common factors is 5406.

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 = 298970072280/(1x5406)

LCM = 298970072280/5406

LCM = 55303380

Thus, we can understand that the LCM of 930,901,612,583 is 55303380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 901, 612, 583

1. What is the LCM of 930, 901, 612, 583?

Answer: LCM of 930, 901, 612, 583 is 55303380.

2. How to calculate the LCM of 930, 901, 612, 583?

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 930, 901, 612, 583.

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}.