LCM of 693, 506, 946, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 506, 946, 840 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 693, 506, 946, 840. So, keep reading to learn more.
Given numbers are 693,506,946,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,506,946,840 is 27415080.
Find LCM of 693,506,946,840 with Prime Factorization
| 2 | 693, 506, 946, 840 |
| 3 | 693, 253, 473, 420 |
| 7 | 231, 253, 473, 140 |
| 11 | 33, 253, 473, 20 |
| 3, 23, 43, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 3 x 23 x 43 x 20 = 27415080
Therefore, the lowest common multiple of 693,506,946,840 is 27415080.
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.
693 x 506 x 946 x 840 = 278646873120
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
506 : 1, 2, 11, 22, 23, 46, 253, 506
946 : 1, 2, 11, 22, 43, 86, 473, 946
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,506,946,840, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
506:2x 11x 23
946:2x 11x 43
840:2x 2x 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 2x 3x 7x 11x 11 = 10164
Therefore, the value for common factors is 10164.
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 = 278646873120/(1x10164)
LCM = 278646873120/10164
LCM = 27415080
Thus, we can understand that the LCM of 693,506,946,840 is 27415080.
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FAQs on LCM of 693, 506, 946, 840
1. What is the LCM of 693, 506, 946, 840?
Answer: LCM of 693, 506, 946, 840 is 27415080.
2. How to calculate the LCM of 693, 506, 946, 840?
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 693, 506, 946, 840.
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}.