LCM of 118, 460, 476, 274, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 460, 476, 274, 766 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, 460, 476, 274, 766. So, keep reading to learn more.
Given numbers are 118,460,476,274,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,460,476,274,766 is 169463489860.
Find LCM of 118,460,476,274,766 with Prime Factorization
| 2 | 118, 460, 476, 274, 766 |
| 2 | 59, 230, 238, 137, 383 |
| 59, 115, 119, 137, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 115 x 119 x 137 x 383 = 169463489860
Therefore, the lowest common multiple of 118,460,476,274,766 is 169463489860.
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 460 x 476 x 274 x 766 = 5422831675520
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
274 : 1, 2, 137, 274
766 : 1, 2, 383, 766
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,460,476,274,766, is 2.
Now, the common factors can be found like this.
118:2x 59
460:2x 2x 5x 23
476:2x 2x 7x 17
274:2x 137
766:2x 383
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 2 = 16
Therefore, the value for common factors is 16.
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 = 5422831675520/(2x16)
LCM = 5422831675520/32
LCM = 169463489860
Thus, we can understand that the LCM of 118,460,476,274,766 is 169463489860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 460, 476, 274, 766
1. What is the LCM of 118, 460, 476, 274, 766?
Answer: LCM of 118, 460, 476, 274, 766 is 169463489860.
2. How to calculate the LCM of 118, 460, 476, 274, 766?
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, 460, 476, 274, 766.
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}.