LCM of 948, 910, 411, 508, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 910, 411, 508, 710 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 948, 910, 411, 508, 710. So, keep reading to learn more.
Given numbers are 948,910,411,508,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,910,411,508,710 is 532846810860.
Find LCM of 948,910,411,508,710 with Prime Factorization
| 2 | 948, 910, 411, 508, 710 |
| 2 | 474, 455, 411, 254, 355 |
| 3 | 237, 455, 411, 127, 355 |
| 5 | 79, 455, 137, 127, 355 |
| 79, 91, 137, 127, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 91 x 137 x 127 x 71 = 532846810860
Therefore, the lowest common multiple of 948,910,411,508,710 is 532846810860.
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.
948 x 910 x 411 x 508 x 710 = 127883234606400
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
411 : 1, 3, 137, 411
508 : 1, 2, 4, 127, 254, 508
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,910,411,508,710, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
910:2x 5x 7x 13
411:3x 137
508:2x 2x 127
710:2x 5x 71
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 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 127883234606400/(1x240)
LCM = 127883234606400/240
LCM = 532846810860
Thus, we can understand that the LCM of 948,910,411,508,710 is 532846810860.
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FAQs on LCM of 948, 910, 411, 508, 710
1. What is the LCM of 948, 910, 411, 508, 710?
Answer: LCM of 948, 910, 411, 508, 710 is 532846810860.
2. How to calculate the LCM of 948, 910, 411, 508, 710?
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 948, 910, 411, 508, 710.
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}.