LCM of 976, 572, 610, 312, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 572, 610, 312, 782 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 976, 572, 610, 312, 782. So, keep reading to learn more.
Given numbers are 976,572,610,312,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,572,610,312,782 is 818566320.
Find LCM of 976,572,610,312,782 with Prime Factorization
| 2 | 976, 572, 610, 312, 782 |
| 2 | 488, 286, 305, 156, 391 |
| 2 | 244, 143, 305, 78, 391 |
| 13 | 122, 143, 305, 39, 391 |
| 61 | 122, 11, 305, 3, 391 |
| 2, 11, 5, 3, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 61 x 2 x 11 x 5 x 3 x 391 = 818566320
Therefore, the lowest common multiple of 976,572,610,312,782 is 818566320.
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.
976 x 572 x 610 x 312 x 782 = 83087755745280
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
610 : 1, 2, 5, 10, 61, 122, 305, 610
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
782 : 1, 2, 17, 23, 34, 46, 391, 782
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,572,610,312,782, is 2.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
572:2x 2x 11x 13
610:2x 5x 61
312:2x 2x 2x 3x 13
782:2x 17x 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 2x 2x 13x 61 = 50752
Therefore, the value for common factors is 50752.
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 = 83087755745280/(2x50752)
LCM = 83087755745280/101504
LCM = 818566320
Thus, we can understand that the LCM of 976,572,610,312,782 is 818566320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 976, 572, 610, 312, 782
1. What is the LCM of 976, 572, 610, 312, 782?
Answer: LCM of 976, 572, 610, 312, 782 is 818566320.
2. How to calculate the LCM of 976, 572, 610, 312, 782?
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 976, 572, 610, 312, 782.
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}.