LCM of 550, 342, 778, 570, 937
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 342, 778, 570, 937 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 550, 342, 778, 570, 937. So, keep reading to learn more.
Given numbers are 550,342,778,570,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,342,778,570,937 is 34280566650.
Find LCM of 550,342,778,570,937 with Prime Factorization
| 2 | 550, 342, 778, 570, 937 |
| 3 | 275, 171, 389, 285, 937 |
| 5 | 275, 57, 389, 95, 937 |
| 19 | 55, 57, 389, 19, 937 |
| 55, 3, 389, 1, 937 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 55 x 3 x 389 x 1 x 937 = 34280566650
Therefore, the lowest common multiple of 550,342,778,570,937 is 34280566650.
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.
550 x 342 x 778 x 570 x 937 = 78159691962000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
778 : 1, 2, 389, 778
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,342,778,570,937, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
342:2x 3x 3x 19
778:2x 389
570:2x 3x 5x 19
937:937
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 3x 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 78159691962000/(1x2280)
LCM = 78159691962000/2280
LCM = 34280566650
Thus, we can understand that the LCM of 550,342,778,570,937 is 34280566650.
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FAQs on LCM of 550, 342, 778, 570, 937
1. What is the LCM of 550, 342, 778, 570, 937?
Answer: LCM of 550, 342, 778, 570, 937 is 34280566650.
2. How to calculate the LCM of 550, 342, 778, 570, 937?
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 550, 342, 778, 570, 937.
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}.