LCM of 869, 318, 636, 612, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 318, 636, 612, 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 869, 318, 636, 612, 572. So, keep reading to learn more.
Given numbers are 869,318,636,612,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,318,636,612,572 is 366429492.
Find LCM of 869,318,636,612,572 with Prime Factorization
| 2 | 869, 318, 636, 612, 572 |
| 2 | 869, 159, 318, 306, 286 |
| 3 | 869, 159, 159, 153, 143 |
| 11 | 869, 53, 53, 51, 143 |
| 53 | 79, 53, 53, 51, 13 |
| 79, 1, 1, 51, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 79 x 1 x 1 x 51 x 13 = 366429492
Therefore, the lowest common multiple of 869,318,636,612,572 is 366429492.
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.
869 x 318 x 636 x 612 x 572 = 61524977424768
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.
869 : 1, 11, 79, 869
318 : 1, 2, 3, 6, 53, 106, 159, 318
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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 869,318,636,612,572, is 1.
Now, the common factors can be found like this.
869:11x 79
318:2x 3x 53
636:2x 2x 3x 53
612:2x 2x 3x 3x 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 2x 2x 2x 3x 3x 11x 53 = 167904
Therefore, the value for common factors is 167904.
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 = 61524977424768/(1x167904)
LCM = 61524977424768/167904
LCM = 366429492
Thus, we can understand that the LCM of 869,318,636,612,572 is 366429492.
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FAQs on LCM of 869, 318, 636, 612, 572
1. What is the LCM of 869, 318, 636, 612, 572?
Answer: LCM of 869, 318, 636, 612, 572 is 366429492.
2. How to calculate the LCM of 869, 318, 636, 612, 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 869, 318, 636, 612, 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}.