LCM of 295, 712, 312, 851, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 712, 312, 851, 962 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 295, 712, 312, 851, 962. So, keep reading to learn more.
Given numbers are 295,712,312,851,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,712,312,851,962 is 6971017560.
Find LCM of 295,712,312,851,962 with Prime Factorization
| 2 | 295, 712, 312, 851, 962 |
| 2 | 295, 356, 156, 851, 481 |
| 2 | 295, 178, 78, 851, 481 |
| 13 | 295, 89, 39, 851, 481 |
| 37 | 295, 89, 3, 851, 37 |
| 295, 89, 3, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 37 x 295 x 89 x 3 x 23 x 1 = 6971017560
Therefore, the lowest common multiple of 295,712,312,851,962 is 6971017560.
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.
295 x 712 x 312 x 851 x 962 = 53648951141760
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.
295 : 1, 5, 59, 295
712 : 1, 2, 4, 8, 89, 178, 356, 712
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
851 : 1, 23, 37, 851
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,712,312,851,962, is 1.
Now, the common factors can be found like this.
295:5x 59
712:2x 2x 2x 89
312:2x 2x 2x 3x 13
851:23x 37
962:2x 13x 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 2x 2x 13x 37 = 7696
Therefore, the value for common factors is 7696.
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 = 53648951141760/(1x7696)
LCM = 53648951141760/7696
LCM = 6971017560
Thus, we can understand that the LCM of 295,712,312,851,962 is 6971017560.
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FAQs on LCM of 295, 712, 312, 851, 962
1. What is the LCM of 295, 712, 312, 851, 962?
Answer: LCM of 295, 712, 312, 851, 962 is 6971017560.
2. How to calculate the LCM of 295, 712, 312, 851, 962?
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 295, 712, 312, 851, 962.
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}.