Find the LCM of 710, 606, 490, 253, 851 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, 606, 490, 253, 851. So, keep reading to learn more.
Given numbers are 710,606,490,253,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,606,490,253,851 is 98677764570.
Find LCM of 710,606,490,253,851 with Prime Factorization
2 | 710, 606, 490, 253, 851 |
5 | 355, 303, 245, 253, 851 |
23 | 71, 303, 49, 253, 851 |
71, 303, 49, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 71 x 303 x 49 x 11 x 37 = 98677764570
Therefore, the lowest common multiple of 710,606,490,253,851 is 98677764570.
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 606 x 490 x 253 x 851 = 45391771702200
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
606 : 1, 2, 3, 6, 101, 202, 303, 606
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
253 : 1, 11, 23, 253
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,606,490,253,851, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
606:2x 3x 101
490:2x 5x 7x 7
253:11x 23
851:23x 37
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 23 = 460
Therefore, the value for common factors is 460.
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 = 45391771702200/(1x460)
LCM = 45391771702200/460
LCM = 98677764570
Thus, we can understand that the LCM of 710,606,490,253,851 is 98677764570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 710, 606, 490, 253, 851?
Answer: LCM of 710, 606, 490, 253, 851 is 98677764570.
2. How to calculate the LCM of 710, 606, 490, 253, 851?
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, 606, 490, 253, 851.
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}.