LCM of 782, 154, 102, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 154, 102, 946 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 782, 154, 102, 946. So, keep reading to learn more.
Given numbers are 782,154,102,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,154,102,946 is 7767606.
Find LCM of 782,154,102,946 with Prime Factorization
| 2 | 782, 154, 102, 946 |
| 11 | 391, 77, 51, 473 |
| 17 | 391, 7, 51, 43 |
| 23, 7, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 23 x 7 x 3 x 43 = 7767606
Therefore, the lowest common multiple of 782,154,102,946 is 7767606.
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.
782 x 154 x 102 x 946 = 11620338576
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
154 : 1, 2, 7, 11, 14, 22, 77, 154
102 : 1, 2, 3, 6, 17, 34, 51, 102
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,154,102,946, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
154:2x 7x 11
102:2x 3x 17
946:2x 11x 43
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 11620338576/(2x748)
LCM = 11620338576/1496
LCM = 7767606
Thus, we can understand that the LCM of 782,154,102,946 is 7767606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 154, 102, 946
1. What is the LCM of 782, 154, 102, 946?
Answer: LCM of 782, 154, 102, 946 is 7767606.
2. How to calculate the LCM of 782, 154, 102, 946?
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 782, 154, 102, 946.
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}.