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LCM of 781, 652, 418, 332

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


Find the LCM of 781, 652, 418, 332 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 781, 652, 418, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,652,418,332

Given numbers are 781,652,418,332

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

The LCM of 781,652,418,332 is 803027324.

Find LCM of 781,652,418,332 with Prime Factorization


2 781, 652, 418, 332
2 781, 326, 209, 166
11 781, 163, 209, 83
71, 163, 19, 83

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

2 x 2 x 11 x 71 x 163 x 19 x 83 = 803027324

Therefore, the lowest common multiple of 781,652,418,332 is 803027324.

LCM Formula to Find Lowest Common Multiple of 781,652,418,332

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.

781 x 652 x 418 x 332 = 70666404512

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.

781 : 1, 11, 71, 781

652 : 1, 2, 4, 163, 326, 652

418 : 1, 2, 11, 19, 22, 38, 209, 418

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,652,418,332, is 1.

Now, the common factors can be found like this.

781:11x 71

652:2x 2x 163

418:2x 11x 19

332:2x 2x 83

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 11 = 88

Therefore, the value for common factors is 88.

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 = 70666404512/(1x88)

LCM = 70666404512/88

LCM = 803027324

Thus, we can understand that the LCM of 781,652,418,332 is 803027324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 652, 418, 332

1. What is the LCM of 781, 652, 418, 332?

Answer: LCM of 781, 652, 418, 332 is 803027324.

2. How to calculate the LCM of 781, 652, 418, 332?

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 781, 652, 418, 332.

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}.