LCM of 842, 710, 230, 916, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 710, 230, 916, 968 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 842, 710, 230, 916, 968. So, keep reading to learn more.
Given numbers are 842,710,230,916,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,710,230,916,968 is 761989741480.
Find LCM of 842,710,230,916,968 with Prime Factorization
| 2 | 842, 710, 230, 916, 968 |
| 2 | 421, 355, 115, 458, 484 |
| 5 | 421, 355, 115, 229, 242 |
| 421, 71, 23, 229, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 421 x 71 x 23 x 229 x 242 = 761989741480
Therefore, the lowest common multiple of 842,710,230,916,968 is 761989741480.
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.
842 x 710 x 230 x 916 x 968 = 121918358636800
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.
842 : 1, 2, 421, 842
710 : 1, 2, 5, 10, 71, 142, 355, 710
230 : 1, 2, 5, 10, 23, 46, 115, 230
916 : 1, 2, 4, 229, 458, 916
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,710,230,916,968, is 2.
Now, the common factors can be found like this.
842:2x 421
710:2x 5x 71
230:2x 5x 23
916:2x 2x 229
968:2x 2x 2x 11x 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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 121918358636800/(2x80)
LCM = 121918358636800/160
LCM = 761989741480
Thus, we can understand that the LCM of 842,710,230,916,968 is 761989741480.
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FAQs on LCM of 842, 710, 230, 916, 968
1. What is the LCM of 842, 710, 230, 916, 968?
Answer: LCM of 842, 710, 230, 916, 968 is 761989741480.
2. How to calculate the LCM of 842, 710, 230, 916, 968?
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 842, 710, 230, 916, 968.
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}.