Find the LCM of 702, 624, 156, 627, 124 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 702, 624, 156, 627, 124. So, keep reading to learn more.
Given numbers are 702,624,156,627,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,624,156,627,124 is 36386064.
Find LCM of 702,624,156,627,124 with Prime Factorization
2 | 702, 624, 156, 627, 124 |
2 | 351, 312, 78, 627, 62 |
3 | 351, 156, 39, 627, 31 |
13 | 117, 52, 13, 209, 31 |
9, 4, 1, 209, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 9 x 4 x 1 x 209 x 31 = 36386064
Therefore, the lowest common multiple of 702,624,156,627,124 is 36386064.
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.
702 x 624 x 156 x 627 x 124 = 5312947521024
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
627 : 1, 3, 11, 19, 33, 57, 209, 627
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,624,156,627,124, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
624:2x 2x 2x 2x 3x 13
156:2x 2x 3x 13
627:3x 11x 19
124:2x 2x 31
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 3x 3x 3x 13x 13 = 146016
Therefore, the value for common factors is 146016.
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 = 5312947521024/(1x146016)
LCM = 5312947521024/146016
LCM = 36386064
Thus, we can understand that the LCM of 702,624,156,627,124 is 36386064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 624, 156, 627, 124?
Answer: LCM of 702, 624, 156, 627, 124 is 36386064.
2. How to calculate the LCM of 702, 624, 156, 627, 124?
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 702, 624, 156, 627, 124.
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}.