Find the LCM of 785, 362, 900, 696, 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 785, 362, 900, 696, 840. So, keep reading to learn more.
Given numbers are 785,362,900,696,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,362,900,696,840 is 10383571800.
Find LCM of 785,362,900,696,840 with Prime Factorization
2 | 785, 362, 900, 696, 840 |
2 | 785, 181, 450, 348, 420 |
2 | 785, 181, 225, 174, 210 |
3 | 785, 181, 225, 87, 105 |
5 | 785, 181, 75, 29, 35 |
157, 181, 15, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 157 x 181 x 15 x 29 x 7 = 10383571800
Therefore, the lowest common multiple of 785,362,900,696,840 is 10383571800.
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.
785 x 362 x 900 x 696 x 840 = 149523433920000
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.
785 : 1, 5, 157, 785
362 : 1, 2, 181, 362
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
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 785,362,900,696,840, is 1.
Now, the common factors can be found like this.
785:5x 157
362:2x 181
900:2x 2x 3x 3x 5x 5
696:2x 2x 2x 3x 29
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 2x 2x 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 149523433920000/(1x14400)
LCM = 149523433920000/14400
LCM = 10383571800
Thus, we can understand that the LCM of 785,362,900,696,840 is 10383571800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 362, 900, 696, 840?
Answer: LCM of 785, 362, 900, 696, 840 is 10383571800.
2. How to calculate the LCM of 785, 362, 900, 696, 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 785, 362, 900, 696, 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}.