Find the LCM of 710, 759, 781, 674, 220 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, 759, 781, 674, 220. So, keep reading to learn more.
Given numbers are 710,759,781,674,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,759,781,674,220 is 363211860.
Find LCM of 710,759,781,674,220 with Prime Factorization
2 | 710, 759, 781, 674, 220 |
5 | 355, 759, 781, 337, 110 |
11 | 71, 759, 781, 337, 22 |
71 | 71, 69, 71, 337, 2 |
1, 69, 1, 337, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 71 x 1 x 69 x 1 x 337 x 2 = 363211860
Therefore, the lowest common multiple of 710,759,781,674,220 is 363211860.
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 759 x 781 x 674 x 220 = 62407061785200
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
781 : 1, 11, 71, 781
674 : 1, 2, 337, 674
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,759,781,674,220, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
759:3x 11x 23
781:11x 71
674:2x 337
220:2x 2x 5x 11
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 11x 11x 71 = 171820
Therefore, the value for common factors is 171820.
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 = 62407061785200/(1x171820)
LCM = 62407061785200/171820
LCM = 363211860
Thus, we can understand that the LCM of 710,759,781,674,220 is 363211860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 710, 759, 781, 674, 220?
Answer: LCM of 710, 759, 781, 674, 220 is 363211860.
2. How to calculate the LCM of 710, 759, 781, 674, 220?
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, 759, 781, 674, 220.
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}.