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LCM of 762, 587, 889, 341

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


Find the LCM of 762, 587, 889, 341 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 762, 587, 889, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,587,889,341

Given numbers are 762,587,889,341

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

The LCM of 762,587,889,341 is 1067690778.

Find LCM of 762,587,889,341 with Prime Factorization


127 762, 587, 889, 341
6, 587, 7, 341

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

127 x 6 x 587 x 7 x 341 = 1067690778

Therefore, the lowest common multiple of 762,587,889,341 is 1067690778.

LCM Formula to Find Lowest Common Multiple of 762,587,889,341

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.

762 x 587 x 889 x 341 = 135596728806

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

587 : 1, 587

889 : 1, 7, 127, 889

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,587,889,341, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

587:587

889:7x 127

341:11x 31

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

127 = 127

Therefore, the value for common factors is 127.

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 = 135596728806/(1x127)

LCM = 135596728806/127

LCM = 1067690778

Thus, we can understand that the LCM of 762,587,889,341 is 1067690778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 587, 889, 341

1. What is the LCM of 762, 587, 889, 341?

Answer: LCM of 762, 587, 889, 341 is 1067690778.

2. How to calculate the LCM of 762, 587, 889, 341?

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 762, 587, 889, 341.

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}.