LCM of 625, 340, 605, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 340, 605, 714 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, 340, 605, 714. So, keep reading to learn more.
Given numbers are 625,340,605,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,340,605,714 is 107992500.
Find LCM of 625,340,605,714 with Prime Factorization
| 2 | 625, 340, 605, 714 |
| 5 | 625, 170, 605, 357 |
| 17 | 125, 34, 121, 357 |
| 125, 2, 121, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 125 x 2 x 121 x 21 = 107992500
Therefore, the lowest common multiple of 625,340,605,714 is 107992500.
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 340 x 605 x 714 = 91793625000
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
605 : 1, 5, 11, 55, 121, 605
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,340,605,714, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
340:2x 2x 5x 17
605:5x 11x 11
714:2x 3x 7x 17
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 17 = 850
Therefore, the value for common factors is 850.
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 = 91793625000/(1x850)
LCM = 91793625000/850
LCM = 107992500
Thus, we can understand that the LCM of 625,340,605,714 is 107992500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 625, 340, 605, 714
1. What is the LCM of 625, 340, 605, 714?
Answer: LCM of 625, 340, 605, 714 is 107992500.
2. How to calculate the LCM of 625, 340, 605, 714?
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, 340, 605, 714.
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}.