LCM of 419, 156, 730, 624, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 156, 730, 624, 952 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 419, 156, 730, 624, 952. So, keep reading to learn more.
Given numbers are 419,156,730,624,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,156,730,624,952 is 11356341360.
Find LCM of 419,156,730,624,952 with Prime Factorization
| 2 | 419, 156, 730, 624, 952 |
| 2 | 419, 78, 365, 312, 476 |
| 2 | 419, 39, 365, 156, 238 |
| 3 | 419, 39, 365, 78, 119 |
| 13 | 419, 13, 365, 26, 119 |
| 419, 1, 365, 2, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 419 x 1 x 365 x 2 x 119 = 11356341360
Therefore, the lowest common multiple of 419,156,730,624,952 is 11356341360.
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.
419 x 156 x 730 x 624 x 952 = 28345428034560
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.
419 : 1, 419
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
730 : 1, 2, 5, 10, 73, 146, 365, 730
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,156,730,624,952, is 1.
Now, the common factors can be found like this.
419:419
156:2x 2x 3x 13
730:2x 5x 73
624:2x 2x 2x 2x 3x 13
952:2x 2x 2x 7x 17
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 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 28345428034560/(1x2496)
LCM = 28345428034560/2496
LCM = 11356341360
Thus, we can understand that the LCM of 419,156,730,624,952 is 11356341360.
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FAQs on LCM of 419, 156, 730, 624, 952
1. What is the LCM of 419, 156, 730, 624, 952?
Answer: LCM of 419, 156, 730, 624, 952 is 11356341360.
2. How to calculate the LCM of 419, 156, 730, 624, 952?
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 419, 156, 730, 624, 952.
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}.