LCM of 456, 756, 143, 669, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 756, 143, 669, 247 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 456, 756, 143, 669, 247. So, keep reading to learn more.
Given numbers are 456,756,143,669,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,756,143,669,247 is 916107192.
Find LCM of 456,756,143,669,247 with Prime Factorization
| 2 | 456, 756, 143, 669, 247 |
| 2 | 228, 378, 143, 669, 247 |
| 3 | 114, 189, 143, 669, 247 |
| 13 | 38, 63, 143, 223, 247 |
| 19 | 38, 63, 11, 223, 19 |
| 2, 63, 11, 223, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 2 x 63 x 11 x 223 x 1 = 916107192
Therefore, the lowest common multiple of 456,756,143,669,247 is 916107192.
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.
456 x 756 x 143 x 669 x 247 = 8146025151264
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
143 : 1, 11, 13, 143
669 : 1, 3, 223, 669
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,756,143,669,247, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
756:2x 2x 3x 3x 3x 7
143:11x 13
669:3x 223
247:13x 19
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 3x 3x 13x 19 = 8892
Therefore, the value for common factors is 8892.
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 = 8146025151264/(1x8892)
LCM = 8146025151264/8892
LCM = 916107192
Thus, we can understand that the LCM of 456,756,143,669,247 is 916107192.
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FAQs on LCM of 456, 756, 143, 669, 247
1. What is the LCM of 456, 756, 143, 669, 247?
Answer: LCM of 456, 756, 143, 669, 247 is 916107192.
2. How to calculate the LCM of 456, 756, 143, 669, 247?
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 456, 756, 143, 669, 247.
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}.