Find the LCM of 735, 456, 432, 269, 150 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, 456, 432, 269, 150. So, keep reading to learn more.
Given numbers are 735,456,432,269,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,456,432,269,150 is 2704741200.
Find LCM of 735,456,432,269,150 with Prime Factorization
2 | 735, 456, 432, 269, 150 |
2 | 735, 228, 216, 269, 75 |
2 | 735, 114, 108, 269, 75 |
3 | 735, 57, 54, 269, 75 |
5 | 245, 19, 18, 269, 25 |
49, 19, 18, 269, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 49 x 19 x 18 x 269 x 5 = 2704741200
Therefore, the lowest common multiple of 735,456,432,269,150 is 2704741200.
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 456 x 432 x 269 x 150 = 5842240992000
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
269 : 1, 269
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,456,432,269,150, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
456:2x 2x 2x 3x 19
432:2x 2x 2x 2x 3x 3x 3
269:269
150:2x 3x 5x 5
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 5842240992000/(1x2160)
LCM = 5842240992000/2160
LCM = 2704741200
Thus, we can understand that the LCM of 735,456,432,269,150 is 2704741200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 456, 432, 269, 150?
Answer: LCM of 735, 456, 432, 269, 150 is 2704741200.
2. How to calculate the LCM of 735, 456, 432, 269, 150?
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, 456, 432, 269, 150.
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}.