LCM of 361, 532, 552, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 532, 552, 416 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 361, 532, 552, 416. So, keep reading to learn more.
Given numbers are 361,532,552,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,532,552,416 is 72535008.
Find LCM of 361,532,552,416 with Prime Factorization
| 2 | 361, 532, 552, 416 |
| 2 | 361, 266, 276, 208 |
| 2 | 361, 133, 138, 104 |
| 19 | 361, 133, 69, 52 |
| 19, 7, 69, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 19 x 7 x 69 x 52 = 72535008
Therefore, the lowest common multiple of 361,532,552,416 is 72535008.
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.
361 x 532 x 552 x 416 = 44101284864
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.
361 : 1, 19, 361
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,532,552,416, is 1.
Now, the common factors can be found like this.
361:19x 19
532:2x 2x 7x 19
552:2x 2x 2x 3x 23
416:2x 2x 2x 2x 2x 13
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 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 44101284864/(1x608)
LCM = 44101284864/608
LCM = 72535008
Thus, we can understand that the LCM of 361,532,552,416 is 72535008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 532, 552, 416
1. What is the LCM of 361, 532, 552, 416?
Answer: LCM of 361, 532, 552, 416 is 72535008.
2. How to calculate the LCM of 361, 532, 552, 416?
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 361, 532, 552, 416.
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}.