LCM of 901, 588, 948, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 588, 948, 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 901, 588, 948, 980. So, keep reading to learn more.
Given numbers are 901,588,948,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,588,948,980 is 209266260.
Find LCM of 901,588,948,980 with Prime Factorization
| 2 | 901, 588, 948, 980 |
| 2 | 901, 294, 474, 490 |
| 3 | 901, 147, 237, 245 |
| 7 | 901, 49, 79, 245 |
| 7 | 901, 7, 79, 35 |
| 901, 1, 79, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 901 x 1 x 79 x 5 = 209266260
Therefore, the lowest common multiple of 901,588,948,980 is 209266260.
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.
901 x 588 x 948 x 980 = 492194243520
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.
901 : 1, 17, 53, 901
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,588,948,980, is 1.
Now, the common factors can be found like this.
901:17x 53
588:2x 2x 3x 7x 7
948:2x 2x 3x 79
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 492194243520/(1x2352)
LCM = 492194243520/2352
LCM = 209266260
Thus, we can understand that the LCM of 901,588,948,980 is 209266260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 901, 588, 948, 980
1. What is the LCM of 901, 588, 948, 980?
Answer: LCM of 901, 588, 948, 980 is 209266260.
2. How to calculate the LCM of 901, 588, 948, 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 901, 588, 948, 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}.