LCM of 977, 490, 539, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 490, 539, 860 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 977, 490, 539, 860. So, keep reading to learn more.
Given numbers are 977,490,539,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,490,539,860 is 452878580.
Find LCM of 977,490,539,860 with Prime Factorization
| 2 | 977, 490, 539, 860 |
| 5 | 977, 245, 539, 430 |
| 7 | 977, 49, 539, 86 |
| 7 | 977, 7, 77, 86 |
| 977, 1, 11, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 977 x 1 x 11 x 86 = 452878580
Therefore, the lowest common multiple of 977,490,539,860 is 452878580.
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.
977 x 490 x 539 x 860 = 221910504200
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.
977 : 1, 977
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
539 : 1, 7, 11, 49, 77, 539
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,490,539,860, is 1.
Now, the common factors can be found like this.
977:977
490:2x 5x 7x 7
539:7x 7x 11
860:2x 2x 5x 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 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 221910504200/(1x490)
LCM = 221910504200/490
LCM = 452878580
Thus, we can understand that the LCM of 977,490,539,860 is 452878580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 490, 539, 860
1. What is the LCM of 977, 490, 539, 860?
Answer: LCM of 977, 490, 539, 860 is 452878580.
2. How to calculate the LCM of 977, 490, 539, 860?
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 977, 490, 539, 860.
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}.