LCM of 118, 690, 286, 506, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 690, 286, 506, 378 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 118, 690, 286, 506, 378. So, keep reading to learn more.
Given numbers are 118,690,286,506,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,690,286,506,378 is 366756390.
Find LCM of 118,690,286,506,378 with Prime Factorization
| 2 | 118, 690, 286, 506, 378 |
| 3 | 59, 345, 143, 253, 189 |
| 11 | 59, 115, 143, 253, 63 |
| 23 | 59, 115, 13, 23, 63 |
| 59, 5, 13, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 59 x 5 x 13 x 1 x 63 = 366756390
Therefore, the lowest common multiple of 118,690,286,506,378 is 366756390.
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.
118 x 690 x 286 x 506 x 378 = 4453889600160
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.
118 : 1, 2, 59, 118
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
286 : 1, 2, 11, 13, 22, 26, 143, 286
506 : 1, 2, 11, 22, 23, 46, 253, 506
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,690,286,506,378, is 2.
Now, the common factors can be found like this.
118:2x 59
690:2x 3x 5x 23
286:2x 11x 13
506:2x 11x 23
378:2x 3x 3x 3x 7
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 3x 11x 23 = 6072
Therefore, the value for common factors is 6072.
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 = 4453889600160/(2x6072)
LCM = 4453889600160/12144
LCM = 366756390
Thus, we can understand that the LCM of 118,690,286,506,378 is 366756390.
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FAQs on LCM of 118, 690, 286, 506, 378
1. What is the LCM of 118, 690, 286, 506, 378?
Answer: LCM of 118, 690, 286, 506, 378 is 366756390.
2. How to calculate the LCM of 118, 690, 286, 506, 378?
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 118, 690, 286, 506, 378.
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}.