LCM of 377, 420, 678, 490, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 420, 678, 490, 599 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, 420, 678, 490, 599. So, keep reading to learn more.
Given numbers are 377,420,678,490,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,420,678,490,599 is 75022917060.
Find LCM of 377,420,678,490,599 with Prime Factorization
| 2 | 377, 420, 678, 490, 599 |
| 3 | 377, 210, 339, 245, 599 |
| 5 | 377, 70, 113, 245, 599 |
| 7 | 377, 14, 113, 49, 599 |
| 377, 2, 113, 7, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 377 x 2 x 113 x 7 x 599 = 75022917060
Therefore, the lowest common multiple of 377,420,678,490,599 is 75022917060.
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 420 x 678 x 490 x 599 = 31509625165200
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
678 : 1, 2, 3, 6, 113, 226, 339, 678
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,420,678,490,599, is 1.
Now, the common factors can be found like this.
377:13x 29
420:2x 2x 3x 5x 7
678:2x 3x 113
490:2x 5x 7x 7
599:599
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 31509625165200/(1x420)
LCM = 31509625165200/420
LCM = 75022917060
Thus, we can understand that the LCM of 377,420,678,490,599 is 75022917060.
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FAQs on LCM of 377, 420, 678, 490, 599
1. What is the LCM of 377, 420, 678, 490, 599?
Answer: LCM of 377, 420, 678, 490, 599 is 75022917060.
2. How to calculate the LCM of 377, 420, 678, 490, 599?
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, 420, 678, 490, 599.
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}.