LCM of 150, 929, 357, 520, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 150, 929, 357, 520, 294 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 150, 929, 357, 520, 294. So, keep reading to learn more.
Given numbers are 150,929,357,520,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,929,357,520,294 is 6036084600.
Find LCM of 150,929,357,520,294 with Prime Factorization
| 2 | 150, 929, 357, 520, 294 |
| 3 | 75, 929, 357, 260, 147 |
| 5 | 25, 929, 119, 260, 49 |
| 7 | 5, 929, 119, 52, 49 |
| 5, 929, 17, 52, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 5 x 929 x 17 x 52 x 7 = 6036084600
Therefore, the lowest common multiple of 150,929,357,520,294 is 6036084600.
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.
150 x 929 x 357 x 520 x 294 = 7605466596000
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
929 : 1, 929
357 : 1, 3, 7, 17, 21, 51, 119, 357
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,929,357,520,294, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
929:929
357:3x 7x 17
520:2x 2x 2x 5x 13
294:2x 3x 7x 7
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 7605466596000/(1x1260)
LCM = 7605466596000/1260
LCM = 6036084600
Thus, we can understand that the LCM of 150,929,357,520,294 is 6036084600.
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FAQs on LCM of 150, 929, 357, 520, 294
1. What is the LCM of 150, 929, 357, 520, 294?
Answer: LCM of 150, 929, 357, 520, 294 is 6036084600.
2. How to calculate the LCM of 150, 929, 357, 520, 294?
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 150, 929, 357, 520, 294.
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}.