LCM of 660, 118, 493, 253, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 118, 493, 253, 406 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 660, 118, 493, 253, 406. So, keep reading to learn more.
Given numbers are 660,118,493,253,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,118,493,253,406 is 3090784620.
Find LCM of 660,118,493,253,406 with Prime Factorization
| 2 | 660, 118, 493, 253, 406 |
| 11 | 330, 59, 493, 253, 203 |
| 29 | 30, 59, 493, 23, 203 |
| 30, 59, 17, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 30 x 59 x 17 x 23 x 7 = 3090784620
Therefore, the lowest common multiple of 660,118,493,253,406 is 3090784620.
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.
660 x 118 x 493 x 253 x 406 = 3943841175120
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
118 : 1, 2, 59, 118
493 : 1, 17, 29, 493
253 : 1, 11, 23, 253
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,118,493,253,406, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
118:2x 59
493:17x 29
253:11x 23
406:2x 7x 29
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 3943841175120/(1x1276)
LCM = 3943841175120/1276
LCM = 3090784620
Thus, we can understand that the LCM of 660,118,493,253,406 is 3090784620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 660, 118, 493, 253, 406
1. What is the LCM of 660, 118, 493, 253, 406?
Answer: LCM of 660, 118, 493, 253, 406 is 3090784620.
2. How to calculate the LCM of 660, 118, 493, 253, 406?
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 660, 118, 493, 253, 406.
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}.