Find the LCM of 572, 676, 364, 821, 621 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 572, 676, 364, 821, 621. So, keep reading to learn more.
Given numbers are 572,676,364,821,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,676,364,821,621 is 26538243732.
Find LCM of 572,676,364,821,621 with Prime Factorization
2 | 572, 676, 364, 821, 621 |
2 | 286, 338, 182, 821, 621 |
13 | 143, 169, 91, 821, 621 |
11, 13, 7, 821, 621 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 11 x 13 x 7 x 821 x 621 = 26538243732
Therefore, the lowest common multiple of 572,676,364,821,621 is 26538243732.
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.
572 x 676 x 364 x 821 x 621 = 71759411051328
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
821 : 1, 821
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,676,364,821,621, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
676:2x 2x 13x 13
364:2x 2x 7x 13
821:821
621:3x 3x 3x 23
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 2x 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 71759411051328/(1x2704)
LCM = 71759411051328/2704
LCM = 26538243732
Thus, we can understand that the LCM of 572,676,364,821,621 is 26538243732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 676, 364, 821, 621?
Answer: LCM of 572, 676, 364, 821, 621 is 26538243732.
2. How to calculate the LCM of 572, 676, 364, 821, 621?
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 572, 676, 364, 821, 621.
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}.