LCM of 347, 506, 924, 602, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 506, 924, 602, 315 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 347, 506, 924, 602, 315. So, keep reading to learn more.
Given numbers are 347,506,924,602,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,506,924,602,315 is 4756516380.
Find LCM of 347,506,924,602,315 with Prime Factorization
| 2 | 347, 506, 924, 602, 315 |
| 3 | 347, 253, 462, 301, 315 |
| 7 | 347, 253, 154, 301, 105 |
| 11 | 347, 253, 22, 43, 15 |
| 347, 23, 2, 43, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 347 x 23 x 2 x 43 x 15 = 4756516380
Therefore, the lowest common multiple of 347,506,924,602,315 is 4756516380.
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.
347 x 506 x 924 x 602 x 315 = 30765147945840
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.
347 : 1, 347
506 : 1, 2, 11, 22, 23, 46, 253, 506
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
602 : 1, 2, 7, 14, 43, 86, 301, 602
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,506,924,602,315, is 1.
Now, the common factors can be found like this.
347:347
506:2x 11x 23
924:2x 2x 3x 7x 11
602:2x 7x 43
315:3x 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 3x 7x 7x 11 = 6468
Therefore, the value for common factors is 6468.
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 = 30765147945840/(1x6468)
LCM = 30765147945840/6468
LCM = 4756516380
Thus, we can understand that the LCM of 347,506,924,602,315 is 4756516380.
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FAQs on LCM of 347, 506, 924, 602, 315
1. What is the LCM of 347, 506, 924, 602, 315?
Answer: LCM of 347, 506, 924, 602, 315 is 4756516380.
2. How to calculate the LCM of 347, 506, 924, 602, 315?
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 347, 506, 924, 602, 315.
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}.