LCM of 151, 507, 714, 604, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 507, 714, 604, 476 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 151, 507, 714, 604, 476. So, keep reading to learn more.
Given numbers are 151,507,714,604,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,507,714,604,476 is 36441132.
Find LCM of 151,507,714,604,476 with Prime Factorization
| 2 | 151, 507, 714, 604, 476 |
| 2 | 151, 507, 357, 302, 238 |
| 3 | 151, 507, 357, 151, 119 |
| 7 | 151, 169, 119, 151, 119 |
| 17 | 151, 169, 17, 151, 17 |
| 151 | 151, 169, 1, 151, 1 |
| 1, 169, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 151 x 1 x 169 x 1 x 1 x 1 = 36441132
Therefore, the lowest common multiple of 151,507,714,604,476 is 36441132.
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.
151 x 507 x 714 x 604 x 476 = 15715456821792
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.
151 : 1, 151
507 : 1, 3, 13, 39, 169, 507
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
604 : 1, 2, 4, 151, 302, 604
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,507,714,604,476, is 1.
Now, the common factors can be found like this.
151:151
507:3x 13x 13
714:2x 3x 7x 17
604:2x 2x 151
476:2x 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 3x 7x 17x 151 = 431256
Therefore, the value for common factors is 431256.
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 = 15715456821792/(1x431256)
LCM = 15715456821792/431256
LCM = 36441132
Thus, we can understand that the LCM of 151,507,714,604,476 is 36441132.
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FAQs on LCM of 151, 507, 714, 604, 476
1. What is the LCM of 151, 507, 714, 604, 476?
Answer: LCM of 151, 507, 714, 604, 476 is 36441132.
2. How to calculate the LCM of 151, 507, 714, 604, 476?
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 151, 507, 714, 604, 476.
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}.