LCM of 158, 322, 319, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 322, 319, 972 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, 322, 319, 972. So, keep reading to learn more.
Given numbers are 158,322,319,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,322,319,972 is 3943754892.
Find LCM of 158,322,319,972 with Prime Factorization
| 2 | 158, 322, 319, 972 |
| 79, 161, 319, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 161 x 319 x 486 = 3943754892
Therefore, the lowest common multiple of 158,322,319,972 is 3943754892.
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 322 x 319 x 972 = 15775019568
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
322 : 1, 2, 7, 14, 23, 46, 161, 322
319 : 1, 11, 29, 319
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,322,319,972, is 1.
Now, the common factors can be found like this.
158:2x 79
322:2x 7x 23
319:11x 29
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 15775019568/(1x4)
LCM = 15775019568/4
LCM = 3943754892
Thus, we can understand that the LCM of 158,322,319,972 is 3943754892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 158, 322, 319, 972
1. What is the LCM of 158, 322, 319, 972?
Answer: LCM of 158, 322, 319, 972 is 3943754892.
2. How to calculate the LCM of 158, 322, 319, 972?
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, 322, 319, 972.
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}.