LCM of 402, 361, 564, 830, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 361, 564, 830, 830 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 402, 361, 564, 830, 830. So, keep reading to learn more.
Given numbers are 402,361,564,830,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,361,564,830,830 is 5661209220.
Find LCM of 402,361,564,830,830 with Prime Factorization
| 2 | 402, 361, 564, 830, 830 |
| 3 | 201, 361, 282, 415, 415 |
| 5 | 67, 361, 94, 415, 415 |
| 83 | 67, 361, 94, 83, 83 |
| 67, 361, 94, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 67 x 361 x 94 x 1 x 1 = 5661209220
Therefore, the lowest common multiple of 402,361,564,830,830 is 5661209220.
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.
402 x 361 x 564 x 830 x 830 = 56385643831200
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
361 : 1, 19, 361
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
830 : 1, 2, 5, 10, 83, 166, 415, 830
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,361,564,830,830, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
361:19x 19
564:2x 2x 3x 47
830:2x 5x 83
830:2x 5x 83
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 2x 3x 5x 83 = 9960
Therefore, the value for common factors is 9960.
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 = 56385643831200/(1x9960)
LCM = 56385643831200/9960
LCM = 5661209220
Thus, we can understand that the LCM of 402,361,564,830,830 is 5661209220.
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FAQs on LCM of 402, 361, 564, 830, 830
1. What is the LCM of 402, 361, 564, 830, 830?
Answer: LCM of 402, 361, 564, 830, 830 is 5661209220.
2. How to calculate the LCM of 402, 361, 564, 830, 830?
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 402, 361, 564, 830, 830.
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}.