LCM of 724, 147, 952, 580, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 147, 952, 580, 335 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 724, 147, 952, 580, 335. So, keep reading to learn more.
Given numbers are 724,147,952,580,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,147,952,580,335 is 35154232680.
Find LCM of 724,147,952,580,335 with Prime Factorization
| 2 | 724, 147, 952, 580, 335 |
| 2 | 362, 147, 476, 290, 335 |
| 5 | 181, 147, 238, 145, 335 |
| 7 | 181, 147, 238, 29, 67 |
| 181, 21, 34, 29, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 181 x 21 x 34 x 29 x 67 = 35154232680
Therefore, the lowest common multiple of 724,147,952,580,335 is 35154232680.
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.
724 x 147 x 952 x 580 x 335 = 19686370300800
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.
724 : 1, 2, 4, 181, 362, 724
147 : 1, 3, 7, 21, 49, 147
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,147,952,580,335, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
147:3x 7x 7
952:2x 2x 2x 7x 17
580:2x 2x 5x 29
335:5x 67
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 19686370300800/(1x560)
LCM = 19686370300800/560
LCM = 35154232680
Thus, we can understand that the LCM of 724,147,952,580,335 is 35154232680.
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FAQs on LCM of 724, 147, 952, 580, 335
1. What is the LCM of 724, 147, 952, 580, 335?
Answer: LCM of 724, 147, 952, 580, 335 is 35154232680.
2. How to calculate the LCM of 724, 147, 952, 580, 335?
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 724, 147, 952, 580, 335.
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}.