LCM of 357, 714, 736, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 714, 736, 460 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 357, 714, 736, 460. So, keep reading to learn more.
Given numbers are 357,714,736,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,714,736,460 is 1313760.
Find LCM of 357,714,736,460 with Prime Factorization
| 2 | 357, 714, 736, 460 |
| 2 | 357, 357, 368, 230 |
| 3 | 357, 357, 184, 115 |
| 7 | 119, 119, 184, 115 |
| 17 | 17, 17, 184, 115 |
| 23 | 1, 1, 184, 115 |
| 1, 1, 8, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 23 x 1 x 1 x 8 x 5 = 1313760
Therefore, the lowest common multiple of 357,714,736,460 is 1313760.
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.
357 x 714 x 736 x 460 = 86298266880
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,714,736,460, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
714:2x 3x 7x 17
736:2x 2x 2x 2x 2x 23
460:2x 2x 5x 23
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 3x 7x 17x 23 = 65688
Therefore, the value for common factors is 65688.
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 = 86298266880/(1x65688)
LCM = 86298266880/65688
LCM = 1313760
Thus, we can understand that the LCM of 357,714,736,460 is 1313760.
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FAQs on LCM of 357, 714, 736, 460
1. What is the LCM of 357, 714, 736, 460?
Answer: LCM of 357, 714, 736, 460 is 1313760.
2. How to calculate the LCM of 357, 714, 736, 460?
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 357, 714, 736, 460.
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}.