LCM of 928, 929, 757, 714, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 929, 757, 714, 572 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 928, 929, 757, 714, 572. So, keep reading to learn more.
Given numbers are 928,929,757,714,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,929,757,714,572 is 33316841541984.
Find LCM of 928,929,757,714,572 with Prime Factorization
| 2 | 928, 929, 757, 714, 572 |
| 2 | 464, 929, 757, 357, 286 |
| 232, 929, 757, 357, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 232 x 929 x 757 x 357 x 143 = 33316841541984
Therefore, the lowest common multiple of 928,929,757,714,572 is 33316841541984.
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.
928 x 929 x 757 x 714 x 572 = 266534732335872
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
929 : 1, 929
757 : 1, 757
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,929,757,714,572, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
929:929
757:757
714:2x 3x 7x 17
572:2x 2x 11x 13
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 2 = 8
Therefore, the value for common factors is 8.
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 = 266534732335872/(1x8)
LCM = 266534732335872/8
LCM = 33316841541984
Thus, we can understand that the LCM of 928,929,757,714,572 is 33316841541984.
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FAQs on LCM of 928, 929, 757, 714, 572
1. What is the LCM of 928, 929, 757, 714, 572?
Answer: LCM of 928, 929, 757, 714, 572 is 33316841541984.
2. How to calculate the LCM of 928, 929, 757, 714, 572?
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 928, 929, 757, 714, 572.
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}.