LCM of 375, 847, 560, 424, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 847, 560, 424, 142 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, 847, 560, 424, 142. So, keep reading to learn more.
Given numbers are 375,847,560,424,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,847,560,424,142 is 19123566000.
Find LCM of 375,847,560,424,142 with Prime Factorization
| 2 | 375, 847, 560, 424, 142 |
| 2 | 375, 847, 280, 212, 71 |
| 2 | 375, 847, 140, 106, 71 |
| 5 | 375, 847, 70, 53, 71 |
| 7 | 75, 847, 14, 53, 71 |
| 75, 121, 2, 53, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 75 x 121 x 2 x 53 x 71 = 19123566000
Therefore, the lowest common multiple of 375,847,560,424,142 is 19123566000.
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 847 x 560 x 424 x 142 = 10709196960000
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
847 : 1, 7, 11, 77, 121, 847
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
424 : 1, 2, 4, 8, 53, 106, 212, 424
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,847,560,424,142, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
847:7x 11x 11
560:2x 2x 2x 2x 5x 7
424:2x 2x 2x 53
142:2x 71
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 7 = 560
Therefore, the value for common factors is 560.
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 = 10709196960000/(1x560)
LCM = 10709196960000/560
LCM = 19123566000
Thus, we can understand that the LCM of 375,847,560,424,142 is 19123566000.
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FAQs on LCM of 375, 847, 560, 424, 142
1. What is the LCM of 375, 847, 560, 424, 142?
Answer: LCM of 375, 847, 560, 424, 142 is 19123566000.
2. How to calculate the LCM of 375, 847, 560, 424, 142?
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, 847, 560, 424, 142.
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}.