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LCM of 749, 559, 590, 130

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


Find the LCM of 749, 559, 590, 130 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 749, 559, 590, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,559,590,130

Given numbers are 749,559,590,130

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

The LCM of 749,559,590,130 is 247027690.

Find LCM of 749,559,590,130 with Prime Factorization


2 749, 559, 590, 130
5 749, 559, 295, 65
13 749, 559, 59, 13
749, 43, 59, 1

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

2 x 5 x 13 x 749 x 43 x 59 x 1 = 247027690

Therefore, the lowest common multiple of 749,559,590,130 is 247027690.

LCM Formula to Find Lowest Common Multiple of 749,559,590,130

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.

749 x 559 x 590 x 130 = 32113599700

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.

749 : 1, 7, 107, 749

559 : 1, 13, 43, 559

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,559,590,130, is 1.

Now, the common factors can be found like this.

749:7x 107

559:13x 43

590:2x 5x 59

130:2x 5x 13

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 32113599700/(1x130)

LCM = 32113599700/130

LCM = 247027690

Thus, we can understand that the LCM of 749,559,590,130 is 247027690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 559, 590, 130

1. What is the LCM of 749, 559, 590, 130?

Answer: LCM of 749, 559, 590, 130 is 247027690.

2. How to calculate the LCM of 749, 559, 590, 130?

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 749, 559, 590, 130.

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}.