LCM of 782, 924, 196, 612, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 924, 196, 612, 874 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, 924, 196, 612, 874. So, keep reading to learn more.
Given numbers are 782,924,196,612,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,924,196,612,874 is 144152316.
Find LCM of 782,924,196,612,874 with Prime Factorization
| 2 | 782, 924, 196, 612, 874 |
| 2 | 391, 462, 98, 306, 437 |
| 3 | 391, 231, 49, 153, 437 |
| 7 | 391, 77, 49, 51, 437 |
| 17 | 391, 11, 7, 51, 437 |
| 23 | 23, 11, 7, 3, 437 |
| 1, 11, 7, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 23 x 1 x 11 x 7 x 3 x 19 = 144152316
Therefore, the lowest common multiple of 782,924,196,612,874 is 144152316.
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 924 x 196 x 612 x 874 = 75752618667264
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,924,196,612,874, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
924:2x 2x 3x 7x 11
196:2x 2x 7x 7
612:2x 2x 3x 3x 17
874:2x 19x 23
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 2x 2x 2x 3x 7x 17x 23 = 262752
Therefore, the value for common factors is 262752.
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 = 75752618667264/(2x262752)
LCM = 75752618667264/525504
LCM = 144152316
Thus, we can understand that the LCM of 782,924,196,612,874 is 144152316.
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FAQs on LCM of 782, 924, 196, 612, 874
1. What is the LCM of 782, 924, 196, 612, 874?
Answer: LCM of 782, 924, 196, 612, 874 is 144152316.
2. How to calculate the LCM of 782, 924, 196, 612, 874?
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, 924, 196, 612, 874.
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}.