LCM of 202, 220, 572, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 220, 572, 473 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 202, 220, 572, 473. So, keep reading to learn more.
Given numbers are 202,220,572,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,220,572,473 is 12420980.
Find LCM of 202,220,572,473 with Prime Factorization
| 2 | 202, 220, 572, 473 |
| 2 | 101, 110, 286, 473 |
| 11 | 101, 55, 143, 473 |
| 101, 5, 13, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 101 x 5 x 13 x 43 = 12420980
Therefore, the lowest common multiple of 202,220,572,473 is 12420980.
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.
202 x 220 x 572 x 473 = 12023508640
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.
202 : 1, 2, 101, 202
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,220,572,473, is 1.
Now, the common factors can be found like this.
202:2x 101
220:2x 2x 5x 11
572:2x 2x 11x 13
473:11x 43
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 12023508640/(1x968)
LCM = 12023508640/968
LCM = 12420980
Thus, we can understand that the LCM of 202,220,572,473 is 12420980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 220, 572, 473
1. What is the LCM of 202, 220, 572, 473?
Answer: LCM of 202, 220, 572, 473 is 12420980.
2. How to calculate the LCM of 202, 220, 572, 473?
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 202, 220, 572, 473.
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}.