LCM of 624, 718, 671, 924, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 718, 671, 924, 639 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 624, 718, 671, 924, 639. So, keep reading to learn more.
Given numbers are 624,718,671,924,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,718,671,924,639 is 224119271376.
Find LCM of 624,718,671,924,639 with Prime Factorization
| 2 | 624, 718, 671, 924, 639 |
| 2 | 312, 359, 671, 462, 639 |
| 3 | 156, 359, 671, 231, 639 |
| 11 | 52, 359, 671, 77, 213 |
| 52, 359, 61, 7, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 52 x 359 x 61 x 7 x 213 = 224119271376
Therefore, the lowest common multiple of 624,718,671,924,639 is 224119271376.
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.
624 x 718 x 671 x 924 x 639 = 177502462929792
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
718 : 1, 2, 359, 718
671 : 1, 11, 61, 671
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,718,671,924,639, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
718:2x 359
671:11x 61
924:2x 2x 3x 7x 11
639:3x 3x 71
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 177502462929792/(1x792)
LCM = 177502462929792/792
LCM = 224119271376
Thus, we can understand that the LCM of 624,718,671,924,639 is 224119271376.
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FAQs on LCM of 624, 718, 671, 924, 639
1. What is the LCM of 624, 718, 671, 924, 639?
Answer: LCM of 624, 718, 671, 924, 639 is 224119271376.
2. How to calculate the LCM of 624, 718, 671, 924, 639?
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 624, 718, 671, 924, 639.
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}.