LCM of 924, 656, 406, 967, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 656, 406, 967, 290 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 924, 656, 406, 967, 290. So, keep reading to learn more.
Given numbers are 924,656,406,967,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,656,406,967,290 is 21247620240.
Find LCM of 924,656,406,967,290 with Prime Factorization
| 2 | 924, 656, 406, 967, 290 |
| 2 | 462, 328, 203, 967, 145 |
| 7 | 231, 164, 203, 967, 145 |
| 29 | 33, 164, 29, 967, 145 |
| 33, 164, 1, 967, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 33 x 164 x 1 x 967 x 5 = 21247620240
Therefore, the lowest common multiple of 924,656,406,967,290 is 21247620240.
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.
924 x 656 x 406 x 967 x 290 = 69012270539520
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.
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
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
406 : 1, 2, 7, 14, 29, 58, 203, 406
967 : 1, 967
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,656,406,967,290, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
656:2x 2x 2x 2x 41
406:2x 7x 29
967:967
290:2x 5x 29
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 7x 29 = 3248
Therefore, the value for common factors is 3248.
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 = 69012270539520/(1x3248)
LCM = 69012270539520/3248
LCM = 21247620240
Thus, we can understand that the LCM of 924,656,406,967,290 is 21247620240.
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FAQs on LCM of 924, 656, 406, 967, 290
1. What is the LCM of 924, 656, 406, 967, 290?
Answer: LCM of 924, 656, 406, 967, 290 is 21247620240.
2. How to calculate the LCM of 924, 656, 406, 967, 290?
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 924, 656, 406, 967, 290.
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}.