LCM of 754, 199, 651, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 199, 651, 210 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 754, 199, 651, 210. So, keep reading to learn more.
Given numbers are 754,199,651,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,199,651,210 is 488399730.
Find LCM of 754,199,651,210 with Prime Factorization
| 2 | 754, 199, 651, 210 |
| 3 | 377, 199, 651, 105 |
| 7 | 377, 199, 217, 35 |
| 377, 199, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 377 x 199 x 31 x 5 = 488399730
Therefore, the lowest common multiple of 754,199,651,210 is 488399730.
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.
754 x 199 x 651 x 210 = 20512788660
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
199 : 1, 199
651 : 1, 3, 7, 21, 31, 93, 217, 651
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,199,651,210, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
199:199
651:3x 7x 31
210:2x 3x 5x 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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 20512788660/(1x42)
LCM = 20512788660/42
LCM = 488399730
Thus, we can understand that the LCM of 754,199,651,210 is 488399730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 199, 651, 210
1. What is the LCM of 754, 199, 651, 210?
Answer: LCM of 754, 199, 651, 210 is 488399730.
2. How to calculate the LCM of 754, 199, 651, 210?
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 754, 199, 651, 210.
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}.