LCM of 964, 449, 550, 152, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 449, 550, 152, 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 964, 449, 550, 152, 840. So, keep reading to learn more.
Given numbers are 964,449,550,152,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,449,550,152,840 is 94985860200.
Find LCM of 964,449,550,152,840 with Prime Factorization
| 2 | 964, 449, 550, 152, 840 |
| 2 | 482, 449, 275, 76, 420 |
| 2 | 241, 449, 275, 38, 210 |
| 5 | 241, 449, 275, 19, 105 |
| 241, 449, 55, 19, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 241 x 449 x 55 x 19 x 21 = 94985860200
Therefore, the lowest common multiple of 964,449,550,152,840 is 94985860200.
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.
964 x 449 x 550 x 152 x 840 = 30395475264000
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.
964 : 1, 2, 4, 241, 482, 964
449 : 1, 449
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
152 : 1, 2, 4, 8, 19, 38, 76, 152
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 964,449,550,152,840, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
449:449
550:2x 5x 5x 11
152:2x 2x 2x 19
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 5 = 320
Therefore, the value for common factors is 320.
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 = 30395475264000/(1x320)
LCM = 30395475264000/320
LCM = 94985860200
Thus, we can understand that the LCM of 964,449,550,152,840 is 94985860200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 964, 449, 550, 152, 840
1. What is the LCM of 964, 449, 550, 152, 840?
Answer: LCM of 964, 449, 550, 152, 840 is 94985860200.
2. How to calculate the LCM of 964, 449, 550, 152, 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 964, 449, 550, 152, 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}.