LCM of 397, 572, 206, 507, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 572, 206, 507, 919 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 397, 572, 206, 507, 919. So, keep reading to learn more.
Given numbers are 397,572,206,507,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,572,206,507,919 is 838308517332.
Find LCM of 397,572,206,507,919 with Prime Factorization
| 2 | 397, 572, 206, 507, 919 |
| 13 | 397, 286, 103, 507, 919 |
| 397, 22, 103, 39, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 397 x 22 x 103 x 39 x 919 = 838308517332
Therefore, the lowest common multiple of 397,572,206,507,919 is 838308517332.
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.
397 x 572 x 206 x 507 x 919 = 21796021450632
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.
397 : 1, 397
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
206 : 1, 2, 103, 206
507 : 1, 3, 13, 39, 169, 507
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,572,206,507,919, is 1.
Now, the common factors can be found like this.
397:397
572:2x 2x 11x 13
206:2x 103
507:3x 13x 13
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 21796021450632/(1x26)
LCM = 21796021450632/26
LCM = 838308517332
Thus, we can understand that the LCM of 397,572,206,507,919 is 838308517332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 572, 206, 507, 919
1. What is the LCM of 397, 572, 206, 507, 919?
Answer: LCM of 397, 572, 206, 507, 919 is 838308517332.
2. How to calculate the LCM of 397, 572, 206, 507, 919?
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 397, 572, 206, 507, 919.
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}.