LCM of 375, 848, 360, 700, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 848, 360, 700, 457 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 375, 848, 360, 700, 457. So, keep reading to learn more.
Given numbers are 375,848,360,700,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,848,360,700,457 is 3051846000.
Find LCM of 375,848,360,700,457 with Prime Factorization
| 2 | 375, 848, 360, 700, 457 |
| 2 | 375, 424, 180, 350, 457 |
| 2 | 375, 212, 90, 175, 457 |
| 3 | 375, 106, 45, 175, 457 |
| 5 | 125, 106, 15, 175, 457 |
| 5 | 25, 106, 3, 35, 457 |
| 5, 106, 3, 7, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 5 x 106 x 3 x 7 x 457 = 3051846000
Therefore, the lowest common multiple of 375,848,360,700,457 is 3051846000.
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.
375 x 848 x 360 x 700 x 457 = 36622152000000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,848,360,700,457, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
848:2x 2x 2x 2x 53
360:2x 2x 2x 3x 3x 5
700:2x 2x 5x 5x 7
457:457
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 3x 5x 5x 5 = 12000
Therefore, the value for common factors is 12000.
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 = 36622152000000/(1x12000)
LCM = 36622152000000/12000
LCM = 3051846000
Thus, we can understand that the LCM of 375,848,360,700,457 is 3051846000.
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FAQs on LCM of 375, 848, 360, 700, 457
1. What is the LCM of 375, 848, 360, 700, 457?
Answer: LCM of 375, 848, 360, 700, 457 is 3051846000.
2. How to calculate the LCM of 375, 848, 360, 700, 457?
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 375, 848, 360, 700, 457.
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}.