LCM of 308, 513, 528, 724, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 513, 528, 724, 630 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 308, 513, 528, 724, 630. So, keep reading to learn more.
Given numbers are 308,513,528,724,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,513,528,724,630 is 571974480.
Find LCM of 308,513,528,724,630 with Prime Factorization
| 2 | 308, 513, 528, 724, 630 |
| 2 | 154, 513, 264, 362, 315 |
| 3 | 77, 513, 132, 181, 315 |
| 3 | 77, 171, 44, 181, 105 |
| 7 | 77, 57, 44, 181, 35 |
| 11 | 11, 57, 44, 181, 5 |
| 1, 57, 4, 181, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 1 x 57 x 4 x 181 x 5 = 571974480
Therefore, the lowest common multiple of 308,513,528,724,630 is 571974480.
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.
308 x 513 x 528 x 724 x 630 = 38052318205440
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
513 : 1, 3, 9, 19, 27, 57, 171, 513
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
724 : 1, 2, 4, 181, 362, 724
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,513,528,724,630, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
513:3x 3x 3x 19
528:2x 2x 2x 2x 3x 11
724:2x 2x 181
630:2x 3x 3x 5x 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 2x 2x 3x 3x 3x 7x 11 = 66528
Therefore, the value for common factors is 66528.
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 = 38052318205440/(1x66528)
LCM = 38052318205440/66528
LCM = 571974480
Thus, we can understand that the LCM of 308,513,528,724,630 is 571974480.
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FAQs on LCM of 308, 513, 528, 724, 630
1. What is the LCM of 308, 513, 528, 724, 630?
Answer: LCM of 308, 513, 528, 724, 630 is 571974480.
2. How to calculate the LCM of 308, 513, 528, 724, 630?
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 308, 513, 528, 724, 630.
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}.