LCM of 473, 506, 220, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 506, 220, 325 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 473, 506, 220, 325. So, keep reading to learn more.
Given numbers are 473,506,220,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,506,220,325 is 14142700.
Find LCM of 473,506,220,325 with Prime Factorization
| 2 | 473, 506, 220, 325 |
| 5 | 473, 253, 110, 325 |
| 11 | 473, 253, 22, 65 |
| 43, 23, 2, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 43 x 23 x 2 x 65 = 14142700
Therefore, the lowest common multiple of 473,506,220,325 is 14142700.
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.
473 x 506 x 220 x 325 = 17112667000
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.
473 : 1, 11, 43, 473
506 : 1, 2, 11, 22, 23, 46, 253, 506
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,506,220,325, is 1.
Now, the common factors can be found like this.
473:11x 43
506:2x 11x 23
220:2x 2x 5x 11
325:5x 5x 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 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 17112667000/(1x1210)
LCM = 17112667000/1210
LCM = 14142700
Thus, we can understand that the LCM of 473,506,220,325 is 14142700.
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FAQs on LCM of 473, 506, 220, 325
1. What is the LCM of 473, 506, 220, 325?
Answer: LCM of 473, 506, 220, 325 is 14142700.
2. How to calculate the LCM of 473, 506, 220, 325?
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 473, 506, 220, 325.
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}.