LCM of 377, 475, 684, 767, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 475, 684, 767, 321 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, 475, 684, 767, 321. So, keep reading to learn more.
Given numbers are 377,475,684,767,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,475,684,767,321 is 40698017100.
Find LCM of 377,475,684,767,321 with Prime Factorization
| 3 | 377, 475, 684, 767, 321 |
| 13 | 377, 475, 228, 767, 107 |
| 19 | 29, 475, 228, 59, 107 |
| 29, 25, 12, 59, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 29 x 25 x 12 x 59 x 107 = 40698017100
Therefore, the lowest common multiple of 377,475,684,767,321 is 40698017100.
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 475 x 684 x 767 x 321 = 30157230671100
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
475 : 1, 5, 19, 25, 95, 475
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
767 : 1, 13, 59, 767
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,475,684,767,321, is 1.
Now, the common factors can be found like this.
377:13x 29
475:5x 5x 19
684:2x 2x 3x 3x 19
767:13x 59
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 30157230671100/(1x741)
LCM = 30157230671100/741
LCM = 40698017100
Thus, we can understand that the LCM of 377,475,684,767,321 is 40698017100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 475, 684, 767, 321
1. What is the LCM of 377, 475, 684, 767, 321?
Answer: LCM of 377, 475, 684, 767, 321 is 40698017100.
2. How to calculate the LCM of 377, 475, 684, 767, 321?
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, 475, 684, 767, 321.
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}.