LCM of 107, 628, 499, 409, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 628, 499, 409, 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 107, 628, 499, 409, 968. So, keep reading to learn more.
Given numbers are 107,628,499,409,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,628,499,409,968 is 3318811918312.
Find LCM of 107,628,499,409,968 with Prime Factorization
| 2 | 107, 628, 499, 409, 968 |
| 2 | 107, 314, 499, 409, 484 |
| 107, 157, 499, 409, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 157 x 499 x 409 x 242 = 3318811918312
Therefore, the lowest common multiple of 107,628,499,409,968 is 3318811918312.
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.
107 x 628 x 499 x 409 x 968 = 13275247673248
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.
107 : 1, 107
628 : 1, 2, 4, 157, 314, 628
499 : 1, 499
409 : 1, 409
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,628,499,409,968, is 1.
Now, the common factors can be found like this.
107:107
628:2x 2x 157
499:499
409:409
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 2 = 4
Therefore, the value for common factors is 4.
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 = 13275247673248/(1x4)
LCM = 13275247673248/4
LCM = 3318811918312
Thus, we can understand that the LCM of 107,628,499,409,968 is 3318811918312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 628, 499, 409, 968
1. What is the LCM of 107, 628, 499, 409, 968?
Answer: LCM of 107, 628, 499, 409, 968 is 3318811918312.
2. How to calculate the LCM of 107, 628, 499, 409, 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 107, 628, 499, 409, 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}.