LCM of 362, 936, 753, 440, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 936, 753, 440, 410 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 362, 936, 753, 440, 410. So, keep reading to learn more.
Given numbers are 362,936,753,440,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,936,753,440,410 is 95890303080.
Find LCM of 362,936,753,440,410 with Prime Factorization
| 2 | 362, 936, 753, 440, 410 |
| 2 | 181, 468, 753, 220, 205 |
| 2 | 181, 234, 753, 110, 205 |
| 3 | 181, 117, 753, 55, 205 |
| 5 | 181, 39, 251, 55, 205 |
| 181, 39, 251, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 181 x 39 x 251 x 11 x 41 = 95890303080
Therefore, the lowest common multiple of 362,936,753,440,410 is 95890303080.
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.
362 x 936 x 753 x 440 x 410 = 46027345478400
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.
362 : 1, 2, 181, 362
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
753 : 1, 3, 251, 753
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,936,753,440,410, is 1.
Now, the common factors can be found like this.
362:2x 181
936:2x 2x 2x 3x 3x 13
753:3x 251
440:2x 2x 2x 5x 11
410:2x 5x 41
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 46027345478400/(1x480)
LCM = 46027345478400/480
LCM = 95890303080
Thus, we can understand that the LCM of 362,936,753,440,410 is 95890303080.
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FAQs on LCM of 362, 936, 753, 440, 410
1. What is the LCM of 362, 936, 753, 440, 410?
Answer: LCM of 362, 936, 753, 440, 410 is 95890303080.
2. How to calculate the LCM of 362, 936, 753, 440, 410?
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 362, 936, 753, 440, 410.
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}.