LCM of 442, 794, 676, 650, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 794, 676, 650, 692 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 442, 794, 676, 650, 692. So, keep reading to learn more.
Given numbers are 442,794,676,650,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,794,676,650,692 is 19732051300.
Find LCM of 442,794,676,650,692 with Prime Factorization
| 2 | 442, 794, 676, 650, 692 |
| 2 | 221, 397, 338, 325, 346 |
| 13 | 221, 397, 169, 325, 173 |
| 17, 397, 13, 25, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 397 x 13 x 25 x 173 = 19732051300
Therefore, the lowest common multiple of 442,794,676,650,692 is 19732051300.
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.
442 x 794 x 676 x 650 x 692 = 106710933430400
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
794 : 1, 2, 397, 794
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
692 : 1, 2, 4, 173, 346, 692
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,794,676,650,692, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
794:2x 397
676:2x 2x 13x 13
650:2x 5x 5x 13
692:2x 2x 173
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 106710933430400/(2x2704)
LCM = 106710933430400/5408
LCM = 19732051300
Thus, we can understand that the LCM of 442,794,676,650,692 is 19732051300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 794, 676, 650, 692
1. What is the LCM of 442, 794, 676, 650, 692?
Answer: LCM of 442, 794, 676, 650, 692 is 19732051300.
2. How to calculate the LCM of 442, 794, 676, 650, 692?
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 442, 794, 676, 650, 692.
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}.