LCM of 342, 988, 730, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 988, 730, 715 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 342, 988, 730, 715. So, keep reading to learn more.
Given numbers are 342,988,730,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,988,730,715 is 35701380.
Find LCM of 342,988,730,715 with Prime Factorization
| 2 | 342, 988, 730, 715 |
| 5 | 171, 494, 365, 715 |
| 13 | 171, 494, 73, 143 |
| 19 | 171, 38, 73, 11 |
| 9, 2, 73, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 9 x 2 x 73 x 11 = 35701380
Therefore, the lowest common multiple of 342,988,730,715 is 35701380.
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.
342 x 988 x 730 x 715 = 176364817200
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
730 : 1, 2, 5, 10, 73, 146, 365, 730
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,988,730,715, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
988:2x 2x 13x 19
730:2x 5x 73
715:5x 11x 13
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 5x 13x 19 = 4940
Therefore, the value for common factors is 4940.
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 = 176364817200/(1x4940)
LCM = 176364817200/4940
LCM = 35701380
Thus, we can understand that the LCM of 342,988,730,715 is 35701380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 342, 988, 730, 715
1. What is the LCM of 342, 988, 730, 715?
Answer: LCM of 342, 988, 730, 715 is 35701380.
2. How to calculate the LCM of 342, 988, 730, 715?
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 342, 988, 730, 715.
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}.