LCM of 210, 782, 560, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 782, 560, 974 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 210, 782, 560, 974. So, keep reading to learn more.
Given numbers are 210,782,560,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,782,560,974 is 319900560.
Find LCM of 210,782,560,974 with Prime Factorization
| 2 | 210, 782, 560, 974 |
| 5 | 105, 391, 280, 487 |
| 7 | 21, 391, 56, 487 |
| 3, 391, 8, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 3 x 391 x 8 x 487 = 319900560
Therefore, the lowest common multiple of 210,782,560,974 is 319900560.
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.
210 x 782 x 560 x 974 = 89572156800
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
782 : 1, 2, 17, 23, 34, 46, 391, 782
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
974 : 1, 2, 487, 974
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,782,560,974, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
782:2x 17x 23
560:2x 2x 2x 2x 5x 7
974:2x 487
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 89572156800/(2x140)
LCM = 89572156800/280
LCM = 319900560
Thus, we can understand that the LCM of 210,782,560,974 is 319900560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 782, 560, 974
1. What is the LCM of 210, 782, 560, 974?
Answer: LCM of 210, 782, 560, 974 is 319900560.
2. How to calculate the LCM of 210, 782, 560, 974?
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 210, 782, 560, 974.
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}.