Find the LCM of 382, 952, 118, 152, 294 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 382, 952, 118, 152, 294. So, keep reading to learn more.
Given numbers are 382,952,118,152,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,952,118,152,294 is 4280507112.
Find LCM of 382,952,118,152,294 with Prime Factorization
2 | 382, 952, 118, 152, 294 |
2 | 191, 476, 59, 76, 147 |
2 | 191, 238, 59, 38, 147 |
7 | 191, 119, 59, 19, 147 |
191, 17, 59, 19, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 191 x 17 x 59 x 19 x 21 = 4280507112
Therefore, the lowest common multiple of 382,952,118,152,294 is 4280507112.
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.
382 x 952 x 118 x 152 x 294 = 1917667186176
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.
382 : 1, 2, 191, 382
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
118 : 1, 2, 59, 118
152 : 1, 2, 4, 8, 19, 38, 76, 152
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,952,118,152,294, is 2.
Now, the common factors can be found like this.
382:2x 191
952:2x 2x 2x 7x 17
118:2x 59
152:2x 2x 2x 19
294:2x 3x 7x 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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 1917667186176/(2x224)
LCM = 1917667186176/448
LCM = 4280507112
Thus, we can understand that the LCM of 382,952,118,152,294 is 4280507112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 952, 118, 152, 294?
Answer: LCM of 382, 952, 118, 152, 294 is 4280507112.
2. How to calculate the LCM of 382, 952, 118, 152, 294?
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 382, 952, 118, 152, 294.
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}.