Find the LCM of 293, 368, 220, 391 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 293, 368, 220, 391. So, keep reading to learn more.
Given numbers are 293,368,220,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,368,220,391 is 100815440.
Find LCM of 293,368,220,391 with Prime Factorization
2 | 293, 368, 220, 391 |
2 | 293, 184, 110, 391 |
23 | 293, 92, 55, 391 |
293, 4, 55, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 293 x 4 x 55 x 17 = 100815440
Therefore, the lowest common multiple of 293,368,220,391 is 100815440.
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.
293 x 368 x 220 x 391 = 9275020480
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.
293 : 1, 293
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,368,220,391, is 1.
Now, the common factors can be found like this.
293:293
368:2x 2x 2x 2x 23
220:2x 2x 5x 11
391:17x 23
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 23 = 92
Therefore, the value for common factors is 92.
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 = 9275020480/(1x92)
LCM = 9275020480/92
LCM = 100815440
Thus, we can understand that the LCM of 293,368,220,391 is 100815440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 293, 368, 220, 391?
Answer: LCM of 293, 368, 220, 391 is 100815440.
2. How to calculate the LCM of 293, 368, 220, 391?
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 293, 368, 220, 391.
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}.