LCM of 714, 935, 557, 900, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 935, 557, 900, 890 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 714, 935, 557, 900, 890. So, keep reading to learn more.
Given numbers are 714,935,557,900,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,935,557,900,890 is 58401951300.
Find LCM of 714,935,557,900,890 with Prime Factorization
| 2 | 714, 935, 557, 900, 890 |
| 3 | 357, 935, 557, 450, 445 |
| 5 | 119, 935, 557, 150, 445 |
| 17 | 119, 187, 557, 30, 89 |
| 7, 11, 557, 30, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 7 x 11 x 557 x 30 x 89 = 58401951300
Therefore, the lowest common multiple of 714,935,557,900,890 is 58401951300.
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.
714 x 935 x 557 x 900 x 890 = 297849951630000
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
935 : 1, 5, 11, 17, 55, 85, 187, 935
557 : 1, 557
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,935,557,900,890, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
935:5x 11x 17
557:557
900:2x 2x 3x 3x 5x 5
890:2x 5x 89
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 3x 5x 5x 17 = 5100
Therefore, the value for common factors is 5100.
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 = 297849951630000/(1x5100)
LCM = 297849951630000/5100
LCM = 58401951300
Thus, we can understand that the LCM of 714,935,557,900,890 is 58401951300.
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FAQs on LCM of 714, 935, 557, 900, 890
1. What is the LCM of 714, 935, 557, 900, 890?
Answer: LCM of 714, 935, 557, 900, 890 is 58401951300.
2. How to calculate the LCM of 714, 935, 557, 900, 890?
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 714, 935, 557, 900, 890.
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}.