LCM of 101, 318, 972, 105, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 318, 972, 105, 785 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 101, 318, 972, 105, 785. So, keep reading to learn more.
Given numbers are 101,318,972,105,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,318,972,105,785 is 28591122420.
Find LCM of 101,318,972,105,785 with Prime Factorization
| 2 | 101, 318, 972, 105, 785 |
| 3 | 101, 159, 486, 105, 785 |
| 5 | 101, 53, 162, 35, 785 |
| 101, 53, 162, 7, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 53 x 162 x 7 x 157 = 28591122420
Therefore, the lowest common multiple of 101,318,972,105,785 is 28591122420.
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.
101 x 318 x 972 x 105 x 785 = 2573201017800
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.
101 : 1, 101
318 : 1, 2, 3, 6, 53, 106, 159, 318
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
105 : 1, 3, 5, 7, 15, 21, 35, 105
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,318,972,105,785, is 1.
Now, the common factors can be found like this.
101:101
318:2x 3x 53
972:2x 2x 3x 3x 3x 3x 3
105:3x 5x 7
785:5x 157
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 2573201017800/(1x90)
LCM = 2573201017800/90
LCM = 28591122420
Thus, we can understand that the LCM of 101,318,972,105,785 is 28591122420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 318, 972, 105, 785
1. What is the LCM of 101, 318, 972, 105, 785?
Answer: LCM of 101, 318, 972, 105, 785 is 28591122420.
2. How to calculate the LCM of 101, 318, 972, 105, 785?
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 101, 318, 972, 105, 785.
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}.