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LCM of 940, 611, 432

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


Find the LCM of 940, 611, 432 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 940, 611, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,611,432

Given numbers are 940,611,432

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

The LCM of 940,611,432 is 1319760.

Find LCM of 940,611,432 with Prime Factorization


2 940, 611, 432
2 470, 611, 216
47 235, 611, 108
5, 13, 108

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

2 x 2 x 47 x 5 x 13 x 108 = 1319760

Therefore, the lowest common multiple of 940,611,432 is 1319760.

LCM Formula to Find Lowest Common Multiple of 940,611,432

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.

940 x 611 x 432 = 248114880

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

611 : 1, 13, 47, 611

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,611,432, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

611:13x 47

432:2x 2x 2x 2x 3x 3x 3

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 47 = 188

Therefore, the value for common factors is 188.

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 = 248114880/(1x188)

LCM = 248114880/188

LCM = 1319760

Thus, we can understand that the LCM of 940,611,432 is 1319760.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 940, 611, 432

1. What is the LCM of 940, 611, 432?

Answer: LCM of 940, 611, 432 is 1319760.

2. How to calculate the LCM of 940, 611, 432?

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 940, 611, 432.

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}.