LCM of 742, 456, 423, 240, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 456, 423, 240, 758 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 742, 456, 423, 240, 758. So, keep reading to learn more.
Given numbers are 742,456,423,240,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,456,423,240,758 is 90405962640.
Find LCM of 742,456,423,240,758 with Prime Factorization
| 2 | 742, 456, 423, 240, 758 |
| 2 | 371, 228, 423, 120, 379 |
| 2 | 371, 114, 423, 60, 379 |
| 3 | 371, 57, 423, 30, 379 |
| 371, 19, 141, 10, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 371 x 19 x 141 x 10 x 379 = 90405962640
Therefore, the lowest common multiple of 742,456,423,240,758 is 90405962640.
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.
742 x 456 x 423 x 240 x 758 = 26036917240320
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
423 : 1, 3, 9, 47, 141, 423
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,456,423,240,758, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
456:2x 2x 2x 3x 19
423:3x 3x 47
240:2x 2x 2x 2x 3x 5
758:2x 379
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 3 = 288
Therefore, the value for common factors is 288.
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 = 26036917240320/(1x288)
LCM = 26036917240320/288
LCM = 90405962640
Thus, we can understand that the LCM of 742,456,423,240,758 is 90405962640.
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FAQs on LCM of 742, 456, 423, 240, 758
1. What is the LCM of 742, 456, 423, 240, 758?
Answer: LCM of 742, 456, 423, 240, 758 is 90405962640.
2. How to calculate the LCM of 742, 456, 423, 240, 758?
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 742, 456, 423, 240, 758.
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}.