Find the LCM of 692, 528, 743, 612, 948 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 692, 528, 743, 612, 948. So, keep reading to learn more.
Given numbers are 692,528,743,612,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,528,743,612,948 is 273442557168.
Find LCM of 692,528,743,612,948 with Prime Factorization
2 | 692, 528, 743, 612, 948 |
2 | 346, 264, 743, 306, 474 |
3 | 173, 132, 743, 153, 237 |
173, 44, 743, 51, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 173 x 44 x 743 x 51 x 79 = 273442557168
Therefore, the lowest common multiple of 692,528,743,612,948 is 273442557168.
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.
692 x 528 x 743 x 612 x 948 = 157502912928768
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.
692 : 1, 2, 4, 173, 346, 692
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
743 : 1, 743
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,528,743,612,948, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
528:2x 2x 2x 2x 3x 11
743:743
612:2x 2x 3x 3x 17
948:2x 2x 3x 79
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 157502912928768/(1x576)
LCM = 157502912928768/576
LCM = 273442557168
Thus, we can understand that the LCM of 692,528,743,612,948 is 273442557168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 692, 528, 743, 612, 948?
Answer: LCM of 692, 528, 743, 612, 948 is 273442557168.
2. How to calculate the LCM of 692, 528, 743, 612, 948?
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 692, 528, 743, 612, 948.
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}.