Find the LCM of 884, 626, 626, 598, 350 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 884, 626, 626, 598, 350. So, keep reading to learn more.
Given numbers are 884,626,626,598,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,626,626,598,350 is 1113685300.
Find LCM of 884,626,626,598,350 with Prime Factorization
2 | 884, 626, 626, 598, 350 |
13 | 442, 313, 313, 299, 175 |
313 | 34, 313, 313, 23, 175 |
34, 1, 1, 23, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 313 x 34 x 1 x 1 x 23 x 175 = 1113685300
Therefore, the lowest common multiple of 884,626,626,598,350 is 1113685300.
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.
884 x 626 x 626 x 598 x 350 = 72505367771200
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
626 : 1, 2, 313, 626
626 : 1, 2, 313, 626
598 : 1, 2, 13, 23, 26, 46, 299, 598
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,626,626,598,350, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
626:2x 313
626:2x 313
598:2x 13x 23
350:2x 5x 5x 7
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 13x 313 = 32552
Therefore, the value for common factors is 32552.
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 = 72505367771200/(2x32552)
LCM = 72505367771200/65104
LCM = 1113685300
Thus, we can understand that the LCM of 884,626,626,598,350 is 1113685300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 626, 626, 598, 350?
Answer: LCM of 884, 626, 626, 598, 350 is 1113685300.
2. How to calculate the LCM of 884, 626, 626, 598, 350?
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 884, 626, 626, 598, 350.
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}.