LCM of 625, 278, 875, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 278, 875, 758 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 625, 278, 875, 758. So, keep reading to learn more.
Given numbers are 625,278,875,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,278,875,758 is 460958750.
Find LCM of 625,278,875,758 with Prime Factorization
| 2 | 625, 278, 875, 758 |
| 5 | 625, 139, 875, 379 |
| 5 | 125, 139, 175, 379 |
| 5 | 25, 139, 35, 379 |
| 5, 139, 7, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 5 x 5 x 139 x 7 x 379 = 460958750
Therefore, the lowest common multiple of 625,278,875,758 is 460958750.
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.
625 x 278 x 875 x 758 = 115239687500
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.
625 : 1, 5, 25, 125, 625
278 : 1, 2, 139, 278
875 : 1, 5, 7, 25, 35, 125, 175, 875
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,278,875,758, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
278:2x 139
875:5x 5x 5x 7
758:2x 379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 115239687500/(1x250)
LCM = 115239687500/250
LCM = 460958750
Thus, we can understand that the LCM of 625,278,875,758 is 460958750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 625, 278, 875, 758
1. What is the LCM of 625, 278, 875, 758?
Answer: LCM of 625, 278, 875, 758 is 460958750.
2. How to calculate the LCM of 625, 278, 875, 758?
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 625, 278, 875, 758.
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}.