Find the LCM of 735, 410, 624, 763, 845 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 735, 410, 624, 763, 845. So, keep reading to learn more.
Given numbers are 735,410,624,763,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,410,624,763,845 is 8881869360.
Find LCM of 735,410,624,763,845 with Prime Factorization
2 | 735, 410, 624, 763, 845 |
3 | 735, 205, 312, 763, 845 |
5 | 245, 205, 104, 763, 845 |
7 | 49, 41, 104, 763, 169 |
13 | 7, 41, 104, 109, 169 |
7, 41, 8, 109, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 7 x 41 x 8 x 109 x 13 = 8881869360
Therefore, the lowest common multiple of 735,410,624,763,845 is 8881869360.
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.
735 x 410 x 624 x 763 x 845 = 121237516764000
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
410 : 1, 2, 5, 10, 41, 82, 205, 410
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
763 : 1, 7, 109, 763
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,410,624,763,845, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
410:2x 5x 41
624:2x 2x 2x 2x 3x 13
763:7x 109
845:5x 13x 13
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 5x 5x 7x 13 = 13650
Therefore, the value for common factors is 13650.
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 = 121237516764000/(1x13650)
LCM = 121237516764000/13650
LCM = 8881869360
Thus, we can understand that the LCM of 735,410,624,763,845 is 8881869360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 410, 624, 763, 845?
Answer: LCM of 735, 410, 624, 763, 845 is 8881869360.
2. How to calculate the LCM of 735, 410, 624, 763, 845?
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 735, 410, 624, 763, 845.
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}.