Find the LCM of 291, 538, 736, 714, 267 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 291, 538, 736, 714, 267. So, keep reading to learn more.
Given numbers are 291,538,736,714,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,538,736,714,267 is 610182926304.
Find LCM of 291,538,736,714,267 with Prime Factorization
2 | 291, 538, 736, 714, 267 |
3 | 291, 269, 368, 357, 267 |
97, 269, 368, 119, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 269 x 368 x 119 x 89 = 610182926304
Therefore, the lowest common multiple of 291,538,736,714,267 is 610182926304.
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.
291 x 538 x 736 x 714 x 267 = 21966585346944
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.
291 : 1, 3, 97, 291
538 : 1, 2, 269, 538
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,538,736,714,267, is 1.
Now, the common factors can be found like this.
291:3x 97
538:2x 269
736:2x 2x 2x 2x 2x 23
714:2x 3x 7x 17
267:3x 89
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 3 = 36
Therefore, the value for common factors is 36.
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 = 21966585346944/(1x36)
LCM = 21966585346944/36
LCM = 610182926304
Thus, we can understand that the LCM of 291,538,736,714,267 is 610182926304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 291, 538, 736, 714, 267?
Answer: LCM of 291, 538, 736, 714, 267 is 610182926304.
2. How to calculate the LCM of 291, 538, 736, 714, 267?
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 291, 538, 736, 714, 267.
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}.