LCM of 418, 807, 430, 132, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 807, 430, 132, 665 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 418, 807, 430, 132, 665. So, keep reading to learn more.
Given numbers are 418,807,430,132,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,807,430,132,665 is 1015351260.
Find LCM of 418,807,430,132,665 with Prime Factorization
| 2 | 418, 807, 430, 132, 665 |
| 3 | 209, 807, 215, 66, 665 |
| 5 | 209, 269, 215, 22, 665 |
| 11 | 209, 269, 43, 22, 133 |
| 19 | 19, 269, 43, 2, 133 |
| 1, 269, 43, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 1 x 269 x 43 x 2 x 7 = 1015351260
Therefore, the lowest common multiple of 418,807,430,132,665 is 1015351260.
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.
418 x 807 x 430 x 132 x 665 = 12732504800400
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
807 : 1, 3, 269, 807
430 : 1, 2, 5, 10, 43, 86, 215, 430
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,807,430,132,665, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
807:3x 269
430:2x 5x 43
132:2x 2x 3x 11
665:5x 7x 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 5x 11x 19 = 12540
Therefore, the value for common factors is 12540.
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 = 12732504800400/(1x12540)
LCM = 12732504800400/12540
LCM = 1015351260
Thus, we can understand that the LCM of 418,807,430,132,665 is 1015351260.
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FAQs on LCM of 418, 807, 430, 132, 665
1. What is the LCM of 418, 807, 430, 132, 665?
Answer: LCM of 418, 807, 430, 132, 665 is 1015351260.
2. How to calculate the LCM of 418, 807, 430, 132, 665?
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 418, 807, 430, 132, 665.
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}.