LCM of 377, 628, 579, 564, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 628, 579, 564, 767 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 377, 628, 579, 564, 767. So, keep reading to learn more.
Given numbers are 377,628,579,564,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,628,579,564,767 is 380127620652.
Find LCM of 377,628,579,564,767 with Prime Factorization
| 2 | 377, 628, 579, 564, 767 |
| 2 | 377, 314, 579, 282, 767 |
| 3 | 377, 157, 579, 141, 767 |
| 13 | 377, 157, 193, 47, 767 |
| 29, 157, 193, 47, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 29 x 157 x 193 x 47 x 59 = 380127620652
Therefore, the lowest common multiple of 377,628,579,564,767 is 380127620652.
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.
377 x 628 x 579 x 564 x 767 = 59299908821712
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.
377 : 1, 13, 29, 377
628 : 1, 2, 4, 157, 314, 628
579 : 1, 3, 193, 579
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,628,579,564,767, is 1.
Now, the common factors can be found like this.
377:13x 29
628:2x 2x 157
579:3x 193
564:2x 2x 3x 47
767:13x 59
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 59299908821712/(1x156)
LCM = 59299908821712/156
LCM = 380127620652
Thus, we can understand that the LCM of 377,628,579,564,767 is 380127620652.
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FAQs on LCM of 377, 628, 579, 564, 767
1. What is the LCM of 377, 628, 579, 564, 767?
Answer: LCM of 377, 628, 579, 564, 767 is 380127620652.
2. How to calculate the LCM of 377, 628, 579, 564, 767?
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 377, 628, 579, 564, 767.
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}.