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LCM of 767, 208, 200, 842

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


Find the LCM of 767, 208, 200, 842 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 767, 208, 200, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,208,200,842

Given numbers are 767,208,200,842

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

The LCM of 767,208,200,842 is 129162800.

Find LCM of 767,208,200,842 with Prime Factorization


2 767, 208, 200, 842
2 767, 104, 100, 421
2 767, 52, 50, 421
13 767, 26, 25, 421
59, 2, 25, 421

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

2 x 2 x 2 x 13 x 59 x 2 x 25 x 421 = 129162800

Therefore, the lowest common multiple of 767,208,200,842 is 129162800.

LCM Formula to Find Lowest Common Multiple of 767,208,200,842

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.

767 x 208 x 200 x 842 = 26865862400

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.

767 : 1, 13, 59, 767

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,208,200,842, is 1.

Now, the common factors can be found like this.

767:13x 59

208:2x 2x 2x 2x 13

200:2x 2x 2x 5x 5

842:2x 421

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 13 = 208

Therefore, the value for common factors is 208.

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 = 26865862400/(1x208)

LCM = 26865862400/208

LCM = 129162800

Thus, we can understand that the LCM of 767,208,200,842 is 129162800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 208, 200, 842

1. What is the LCM of 767, 208, 200, 842?

Answer: LCM of 767, 208, 200, 842 is 129162800.

2. How to calculate the LCM of 767, 208, 200, 842?

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 767, 208, 200, 842.

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}.