Find the LCM of 859, 972, 219, 694, 358 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 859, 972, 219, 694, 358. So, keep reading to learn more.
Given numbers are 859,972,219,694,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,972,219,694,358 is 3785862134052.
Find LCM of 859,972,219,694,358 with Prime Factorization
2 | 859, 972, 219, 694, 358 |
3 | 859, 486, 219, 347, 179 |
859, 162, 73, 347, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 859 x 162 x 73 x 347 x 179 = 3785862134052
Therefore, the lowest common multiple of 859,972,219,694,358 is 3785862134052.
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.
859 x 972 x 219 x 694 x 358 = 45430345608624
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.
859 : 1, 859
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
219 : 1, 3, 73, 219
694 : 1, 2, 347, 694
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,972,219,694,358, is 1.
Now, the common factors can be found like this.
859:859
972:2x 2x 3x 3x 3x 3x 3
219:3x 73
694:2x 347
358:2x 179
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 3 = 12
Therefore, the value for common factors is 12.
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 = 45430345608624/(1x12)
LCM = 45430345608624/12
LCM = 3785862134052
Thus, we can understand that the LCM of 859,972,219,694,358 is 3785862134052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 859, 972, 219, 694, 358?
Answer: LCM of 859, 972, 219, 694, 358 is 3785862134052.
2. How to calculate the LCM of 859, 972, 219, 694, 358?
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 859, 972, 219, 694, 358.
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}.