LCM of 701, 402, 639, 618, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 402, 639, 618, 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 701, 402, 639, 618, 315. So, keep reading to learn more.
Given numbers are 701,402,639,618,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,402,639,618,315 is 216385892730.
Find LCM of 701,402,639,618,315 with Prime Factorization
| 2 | 701, 402, 639, 618, 315 |
| 3 | 701, 201, 639, 309, 315 |
| 3 | 701, 67, 213, 103, 105 |
| 701, 67, 71, 103, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 701 x 67 x 71 x 103 x 35 = 216385892730
Therefore, the lowest common multiple of 701,402,639,618,315 is 216385892730.
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.
701 x 402 x 639 x 618 x 315 = 35054514622260
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.
701 : 1, 701
402 : 1, 2, 3, 6, 67, 134, 201, 402
639 : 1, 3, 9, 71, 213, 639
618 : 1, 2, 3, 6, 103, 206, 309, 618
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 701,402,639,618,315, is 1.
Now, the common factors can be found like this.
701:701
402:2x 3x 67
639:3x 3x 71
618:2x 3x 103
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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 35054514622260/(1x162)
LCM = 35054514622260/162
LCM = 216385892730
Thus, we can understand that the LCM of 701,402,639,618,315 is 216385892730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 402, 639, 618, 315
1. What is the LCM of 701, 402, 639, 618, 315?
Answer: LCM of 701, 402, 639, 618, 315 is 216385892730.
2. How to calculate the LCM of 701, 402, 639, 618, 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 701, 402, 639, 618, 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}.