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LCM of 141, 440, 360, 530

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


Find the LCM of 141, 440, 360, 530 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 141, 440, 360, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,440,360,530

Given numbers are 141,440,360,530

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

The LCM of 141,440,360,530 is 9864360.

Find LCM of 141,440,360,530 with Prime Factorization


2 141, 440, 360, 530
2 141, 220, 180, 265
2 141, 110, 90, 265
3 141, 55, 45, 265
5 47, 55, 15, 265
47, 11, 3, 53

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

2 x 2 x 2 x 3 x 5 x 47 x 11 x 3 x 53 = 9864360

Therefore, the lowest common multiple of 141,440,360,530 is 9864360.

LCM Formula to Find Lowest Common Multiple of 141,440,360,530

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.

141 x 440 x 360 x 530 = 11837232000

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.

141 : 1, 3, 47, 141

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,440,360,530, is 1.

Now, the common factors can be found like this.

141:3x 47

440:2x 2x 2x 5x 11

360:2x 2x 2x 3x 3x 5

530:2x 5x 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 2x 2x 2x 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 11837232000/(1x1200)

LCM = 11837232000/1200

LCM = 9864360

Thus, we can understand that the LCM of 141,440,360,530 is 9864360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 440, 360, 530

1. What is the LCM of 141, 440, 360, 530?

Answer: LCM of 141, 440, 360, 530 is 9864360.

2. How to calculate the LCM of 141, 440, 360, 530?

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 141, 440, 360, 530.

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}.