LCM of 710, 254, 507, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 254, 507, 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 710, 254, 507, 715. So, keep reading to learn more.
Given numbers are 710,254,507,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,254,507,715 is 502878090.
Find LCM of 710,254,507,715 with Prime Factorization
| 2 | 710, 254, 507, 715 |
| 5 | 355, 127, 507, 715 |
| 13 | 71, 127, 507, 143 |
| 71, 127, 39, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 71 x 127 x 39 x 11 = 502878090
Therefore, the lowest common multiple of 710,254,507,715 is 502878090.
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.
710 x 254 x 507 x 715 = 65374151700
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.
710 : 1, 2, 5, 10, 71, 142, 355, 710
254 : 1, 2, 127, 254
507 : 1, 3, 13, 39, 169, 507
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 710,254,507,715, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
254:2x 127
507:3x 13x 13
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 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 65374151700/(1x130)
LCM = 65374151700/130
LCM = 502878090
Thus, we can understand that the LCM of 710,254,507,715 is 502878090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 710, 254, 507, 715
1. What is the LCM of 710, 254, 507, 715?
Answer: LCM of 710, 254, 507, 715 is 502878090.
2. How to calculate the LCM of 710, 254, 507, 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 710, 254, 507, 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}.