LCM of 564, 391, 402, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 391, 402, 765 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 564, 391, 402, 765. So, keep reading to learn more.
Given numbers are 564,391,402,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,391,402,765 is 221626620.
Find LCM of 564,391,402,765 with Prime Factorization
| 2 | 564, 391, 402, 765 |
| 3 | 282, 391, 201, 765 |
| 17 | 94, 391, 67, 255 |
| 94, 23, 67, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 94 x 23 x 67 x 15 = 221626620
Therefore, the lowest common multiple of 564,391,402,765 is 221626620.
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.
564 x 391 x 402 x 765 = 67817745720
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
391 : 1, 17, 23, 391
402 : 1, 2, 3, 6, 67, 134, 201, 402
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,391,402,765, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
391:17x 23
402:2x 3x 67
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 67817745720/(1x306)
LCM = 67817745720/306
LCM = 221626620
Thus, we can understand that the LCM of 564,391,402,765 is 221626620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 564, 391, 402, 765
1. What is the LCM of 564, 391, 402, 765?
Answer: LCM of 564, 391, 402, 765 is 221626620.
2. How to calculate the LCM of 564, 391, 402, 765?
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 564, 391, 402, 765.
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}.