LCM of 435, 986, 572, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 986, 572, 975 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 435, 986, 572, 975. So, keep reading to learn more.
Given numbers are 435,986,572,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,986,572,975 is 21149700.
Find LCM of 435,986,572,975 with Prime Factorization
| 2 | 435, 986, 572, 975 |
| 3 | 435, 493, 286, 975 |
| 5 | 145, 493, 286, 325 |
| 13 | 29, 493, 286, 65 |
| 29 | 29, 493, 22, 5 |
| 1, 17, 22, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 29 x 1 x 17 x 22 x 5 = 21149700
Therefore, the lowest common multiple of 435,986,572,975 is 21149700.
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.
435 x 986 x 572 x 975 = 239203107000
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
986 : 1, 2, 17, 29, 34, 58, 493, 986
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,986,572,975, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
986:2x 17x 29
572:2x 2x 11x 13
975:3x 5x 5x 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 3x 5x 13x 29 = 11310
Therefore, the value for common factors is 11310.
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 = 239203107000/(1x11310)
LCM = 239203107000/11310
LCM = 21149700
Thus, we can understand that the LCM of 435,986,572,975 is 21149700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 435, 986, 572, 975
1. What is the LCM of 435, 986, 572, 975?
Answer: LCM of 435, 986, 572, 975 is 21149700.
2. How to calculate the LCM of 435, 986, 572, 975?
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 435, 986, 572, 975.
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}.