LCM of 535, 320, 650, 900, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 320, 650, 900, 746 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 535, 320, 650, 900, 746. So, keep reading to learn more.
Given numbers are 535,320,650,900,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,320,650,900,746 is 7471339200.
Find LCM of 535,320,650,900,746 with Prime Factorization
| 2 | 535, 320, 650, 900, 746 |
| 2 | 535, 160, 325, 450, 373 |
| 5 | 535, 80, 325, 225, 373 |
| 5 | 107, 16, 65, 45, 373 |
| 107, 16, 13, 9, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 107 x 16 x 13 x 9 x 373 = 7471339200
Therefore, the lowest common multiple of 535,320,650,900,746 is 7471339200.
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.
535 x 320 x 650 x 900 x 746 = 74713392000000
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.
535 : 1, 5, 107, 535
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
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
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,320,650,900,746, is 1.
Now, the common factors can be found like this.
535:5x 107
320:2x 2x 2x 2x 2x 2x 5
650:2x 5x 5x 13
900:2x 2x 3x 3x 5x 5
746:2x 373
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 5x 5x 5x 5 = 10000
Therefore, the value for common factors is 10000.
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 = 74713392000000/(1x10000)
LCM = 74713392000000/10000
LCM = 7471339200
Thus, we can understand that the LCM of 535,320,650,900,746 is 7471339200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 535, 320, 650, 900, 746
1. What is the LCM of 535, 320, 650, 900, 746?
Answer: LCM of 535, 320, 650, 900, 746 is 7471339200.
2. How to calculate the LCM of 535, 320, 650, 900, 746?
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 535, 320, 650, 900, 746.
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}.