LCM of 742, 637, 484, 785, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 637, 484, 785, 336 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, 637, 484, 785, 336. So, keep reading to learn more.
Given numbers are 742,637,484,785,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,637,484,785,336 is 153925852080.
Find LCM of 742,637,484,785,336 with Prime Factorization
| 2 | 742, 637, 484, 785, 336 |
| 2 | 371, 637, 242, 785, 168 |
| 7 | 371, 637, 121, 785, 84 |
| 53, 91, 121, 785, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 53 x 91 x 121 x 785 x 12 = 153925852080
Therefore, the lowest common multiple of 742,637,484,785,336 is 153925852080.
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 637 x 484 x 785 x 336 = 60338934015360
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
637 : 1, 7, 13, 49, 91, 637
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
785 : 1, 5, 157, 785
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,637,484,785,336, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
637:7x 7x 13
484:2x 2x 11x 11
785:5x 157
336:2x 2x 2x 2x 3x 7
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 60338934015360/(1x392)
LCM = 60338934015360/392
LCM = 153925852080
Thus, we can understand that the LCM of 742,637,484,785,336 is 153925852080.
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FAQs on LCM of 742, 637, 484, 785, 336
1. What is the LCM of 742, 637, 484, 785, 336?
Answer: LCM of 742, 637, 484, 785, 336 is 153925852080.
2. How to calculate the LCM of 742, 637, 484, 785, 336?
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, 637, 484, 785, 336.
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}.