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LCM of 590, 572, 177, 774, 532

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


Find the LCM of 590, 572, 177, 774, 532 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 590, 572, 177, 774, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,572,177,774,532

Given numbers are 590,572,177,774,532

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

The LCM of 590,572,177,774,532 is 8685216540.

Find LCM of 590,572,177,774,532 with Prime Factorization


2 590, 572, 177, 774, 532
2 295, 286, 177, 387, 266
3 295, 143, 177, 387, 133
59 295, 143, 59, 129, 133
5, 143, 1, 129, 133

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

2 x 2 x 3 x 59 x 5 x 143 x 1 x 129 x 133 = 8685216540

Therefore, the lowest common multiple of 590,572,177,774,532 is 8685216540.

LCM Formula to Find Lowest Common Multiple of 590,572,177,774,532

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.

590 x 572 x 177 x 774 x 532 = 24596533241280

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

177 : 1, 3, 59, 177

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,572,177,774,532, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

572:2x 2x 11x 13

177:3x 59

774:2x 3x 3x 43

532:2x 2x 7x 19

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 59 = 2832

Therefore, the value for common factors is 2832.

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 = 24596533241280/(1x2832)

LCM = 24596533241280/2832

LCM = 8685216540

Thus, we can understand that the LCM of 590,572,177,774,532 is 8685216540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 572, 177, 774, 532

1. What is the LCM of 590, 572, 177, 774, 532?

Answer: LCM of 590, 572, 177, 774, 532 is 8685216540.

2. How to calculate the LCM of 590, 572, 177, 774, 532?

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 590, 572, 177, 774, 532.

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}.