LCM of 948, 542, 340, 170, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 542, 340, 170, 980 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 948, 542, 340, 170, 980. So, keep reading to learn more.
Given numbers are 948,542,340,170,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,542,340,170,980 is 1070021820.
Find LCM of 948,542,340,170,980 with Prime Factorization
| 2 | 948, 542, 340, 170, 980 |
| 2 | 474, 271, 170, 85, 490 |
| 5 | 237, 271, 85, 85, 245 |
| 17 | 237, 271, 17, 17, 49 |
| 237, 271, 1, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 237 x 271 x 1 x 1 x 49 = 1070021820
Therefore, the lowest common multiple of 948,542,340,170,980 is 1070021820.
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.
948 x 542 x 340 x 170 x 980 = 29104593504000
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
542 : 1, 2, 271, 542
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
170 : 1, 2, 5, 10, 17, 34, 85, 170
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,542,340,170,980, is 2.
Now, the common factors can be found like this.
948:2x 2x 3x 79
542:2x 271
340:2x 2x 5x 17
170:2x 5x 17
980:2x 2x 5x 7x 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 2x 2x 5x 5x 17 = 13600
Therefore, the value for common factors is 13600.
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 = 29104593504000/(2x13600)
LCM = 29104593504000/27200
LCM = 1070021820
Thus, we can understand that the LCM of 948,542,340,170,980 is 1070021820.
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FAQs on LCM of 948, 542, 340, 170, 980
1. What is the LCM of 948, 542, 340, 170, 980?
Answer: LCM of 948, 542, 340, 170, 980 is 1070021820.
2. How to calculate the LCM of 948, 542, 340, 170, 980?
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 948, 542, 340, 170, 980.
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}.