LCM of 158, 714, 561, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 714, 561, 997 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 158, 714, 561, 997. So, keep reading to learn more.
Given numbers are 158,714,561,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,714,561,997 is 618604602.
Find LCM of 158,714,561,997 with Prime Factorization
| 2 | 158, 714, 561, 997 |
| 3 | 79, 357, 561, 997 |
| 17 | 79, 119, 187, 997 |
| 79, 7, 11, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 79 x 7 x 11 x 997 = 618604602
Therefore, the lowest common multiple of 158,714,561,997 is 618604602.
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.
158 x 714 x 561 x 997 = 63097669404
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.
158 : 1, 2, 79, 158
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
561 : 1, 3, 11, 17, 33, 51, 187, 561
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,714,561,997, is 1.
Now, the common factors can be found like this.
158:2x 79
714:2x 3x 7x 17
561:3x 11x 17
997:997
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 63097669404/(1x102)
LCM = 63097669404/102
LCM = 618604602
Thus, we can understand that the LCM of 158,714,561,997 is 618604602.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 158, 714, 561, 997
1. What is the LCM of 158, 714, 561, 997?
Answer: LCM of 158, 714, 561, 997 is 618604602.
2. How to calculate the LCM of 158, 714, 561, 997?
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 158, 714, 561, 997.
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}.