LCM of 539, 803, 423, 974, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 803, 423, 974, 222 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 539, 803, 423, 974, 222. So, keep reading to learn more.
Given numbers are 539,803,423,974,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,803,423,974,222 is 599808579678.
Find LCM of 539,803,423,974,222 with Prime Factorization
| 2 | 539, 803, 423, 974, 222 |
| 3 | 539, 803, 423, 487, 111 |
| 11 | 539, 803, 141, 487, 37 |
| 49, 73, 141, 487, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 49 x 73 x 141 x 487 x 37 = 599808579678
Therefore, the lowest common multiple of 539,803,423,974,222 is 599808579678.
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.
539 x 803 x 423 x 974 x 222 = 39587366258748
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.
539 : 1, 7, 11, 49, 77, 539
803 : 1, 11, 73, 803
423 : 1, 3, 9, 47, 141, 423
974 : 1, 2, 487, 974
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,803,423,974,222, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
803:11x 73
423:3x 3x 47
974:2x 487
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 39587366258748/(1x66)
LCM = 39587366258748/66
LCM = 599808579678
Thus, we can understand that the LCM of 539,803,423,974,222 is 599808579678.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 803, 423, 974, 222
1. What is the LCM of 539, 803, 423, 974, 222?
Answer: LCM of 539, 803, 423, 974, 222 is 599808579678.
2. How to calculate the LCM of 539, 803, 423, 974, 222?
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 539, 803, 423, 974, 222.
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}.