LCM of 887, 620, 506, 690, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 620, 506, 690, 398 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 887, 620, 506, 690, 398. So, keep reading to learn more.
Given numbers are 887,620,506,690,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,620,506,690,398 is 83063487540.
Find LCM of 887,620,506,690,398 with Prime Factorization
| 2 | 887, 620, 506, 690, 398 |
| 5 | 887, 310, 253, 345, 199 |
| 23 | 887, 62, 253, 69, 199 |
| 887, 62, 11, 3, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 887 x 62 x 11 x 3 x 199 = 83063487540
Therefore, the lowest common multiple of 887,620,506,690,398 is 83063487540.
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.
887 x 620 x 506 x 690 x 398 = 76418408536800
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.
887 : 1, 887
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
506 : 1, 2, 11, 22, 23, 46, 253, 506
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,620,506,690,398, is 1.
Now, the common factors can be found like this.
887:887
620:2x 2x 5x 31
506:2x 11x 23
690:2x 3x 5x 23
398:2x 199
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 76418408536800/(1x920)
LCM = 76418408536800/920
LCM = 83063487540
Thus, we can understand that the LCM of 887,620,506,690,398 is 83063487540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 887, 620, 506, 690, 398
1. What is the LCM of 887, 620, 506, 690, 398?
Answer: LCM of 887, 620, 506, 690, 398 is 83063487540.
2. How to calculate the LCM of 887, 620, 506, 690, 398?
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 887, 620, 506, 690, 398.
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}.