LCM of 746, 748, 594, 924, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 748, 594, 924, 495 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 746, 748, 594, 924, 495. So, keep reading to learn more.
Given numbers are 746,748,594,924,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,748,594,924,495 is 263658780.
Find LCM of 746,748,594,924,495 with Prime Factorization
| 2 | 746, 748, 594, 924, 495 |
| 2 | 373, 374, 297, 462, 495 |
| 3 | 373, 187, 297, 231, 495 |
| 3 | 373, 187, 99, 77, 165 |
| 11 | 373, 187, 33, 77, 55 |
| 373, 17, 3, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 373 x 17 x 3 x 7 x 5 = 263658780
Therefore, the lowest common multiple of 746,748,594,924,495 is 263658780.
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.
746 x 748 x 594 x 924 x 495 = 151601689229760
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.
746 : 1, 2, 373, 746
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
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
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,748,594,924,495, is 1.
Now, the common factors can be found like this.
746:2x 373
748:2x 2x 11x 17
594:2x 3x 3x 3x 11
924:2x 2x 3x 7x 11
495:3x 3x 5x 11
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 3x 3x 3x 11x 11x 11 = 574992
Therefore, the value for common factors is 574992.
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 = 151601689229760/(1x574992)
LCM = 151601689229760/574992
LCM = 263658780
Thus, we can understand that the LCM of 746,748,594,924,495 is 263658780.
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FAQs on LCM of 746, 748, 594, 924, 495
1. What is the LCM of 746, 748, 594, 924, 495?
Answer: LCM of 746, 748, 594, 924, 495 is 263658780.
2. How to calculate the LCM of 746, 748, 594, 924, 495?
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 746, 748, 594, 924, 495.
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}.