LCM of 140, 735, 519, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 735, 519, 984 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 140, 735, 519, 984. So, keep reading to learn more.
Given numbers are 140,735,519,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,735,519,984 is 41706840.
Find LCM of 140,735,519,984 with Prime Factorization
| 2 | 140, 735, 519, 984 |
| 2 | 70, 735, 519, 492 |
| 3 | 35, 735, 519, 246 |
| 5 | 35, 245, 173, 82 |
| 7 | 7, 49, 173, 82 |
| 1, 7, 173, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 7 x 173 x 82 = 41706840
Therefore, the lowest common multiple of 140,735,519,984 is 41706840.
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.
140 x 735 x 519 x 984 = 52550618400
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
519 : 1, 3, 173, 519
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,735,519,984, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
735:3x 5x 7x 7
519:3x 173
984:2x 2x 2x 3x 41
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 52550618400/(1x1260)
LCM = 52550618400/1260
LCM = 41706840
Thus, we can understand that the LCM of 140,735,519,984 is 41706840.
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FAQs on LCM of 140, 735, 519, 984
1. What is the LCM of 140, 735, 519, 984?
Answer: LCM of 140, 735, 519, 984 is 41706840.
2. How to calculate the LCM of 140, 735, 519, 984?
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 140, 735, 519, 984.
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}.