LCM of 964, 822, 152, 974, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 822, 152, 974, 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 964, 822, 152, 974, 968. So, keep reading to learn more.
Given numbers are 964,822,152,974,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,822,152,974,968 is 887190298104.
Find LCM of 964,822,152,974,968 with Prime Factorization
| 2 | 964, 822, 152, 974, 968 |
| 2 | 482, 411, 76, 487, 484 |
| 2 | 241, 411, 38, 487, 242 |
| 241, 411, 19, 487, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 241 x 411 x 19 x 487 x 121 = 887190298104
Therefore, the lowest common multiple of 964,822,152,974,968 is 887190298104.
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.
964 x 822 x 152 x 974 x 968 = 113560358157312
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.
964 : 1, 2, 4, 241, 482, 964
822 : 1, 2, 3, 6, 137, 274, 411, 822
152 : 1, 2, 4, 8, 19, 38, 76, 152
974 : 1, 2, 487, 974
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 964,822,152,974,968, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
822:2x 3x 137
152:2x 2x 2x 19
974:2x 487
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 113560358157312/(2x64)
LCM = 113560358157312/128
LCM = 887190298104
Thus, we can understand that the LCM of 964,822,152,974,968 is 887190298104.
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FAQs on LCM of 964, 822, 152, 974, 968
1. What is the LCM of 964, 822, 152, 974, 968?
Answer: LCM of 964, 822, 152, 974, 968 is 887190298104.
2. How to calculate the LCM of 964, 822, 152, 974, 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 964, 822, 152, 974, 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}.