LCM of 705, 500, 935, 995, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 500, 935, 995, 351 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 705, 500, 935, 995, 351. So, keep reading to learn more.
Given numbers are 705,500,935,995,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,500,935,995,351 is 306951430500.
Find LCM of 705,500,935,995,351 with Prime Factorization
| 3 | 705, 500, 935, 995, 351 |
| 5 | 235, 500, 935, 995, 117 |
| 47, 100, 187, 199, 117 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 100 x 187 x 199 x 117 = 306951430500
Therefore, the lowest common multiple of 705,500,935,995,351 is 306951430500.
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.
705 x 500 x 935 x 995 x 351 = 115106786437500
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
935 : 1, 5, 11, 17, 55, 85, 187, 935
995 : 1, 5, 199, 995
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,500,935,995,351, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
500:2x 2x 5x 5x 5
935:5x 11x 17
995:5x 199
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 115106786437500/(1x375)
LCM = 115106786437500/375
LCM = 306951430500
Thus, we can understand that the LCM of 705,500,935,995,351 is 306951430500.
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FAQs on LCM of 705, 500, 935, 995, 351
1. What is the LCM of 705, 500, 935, 995, 351?
Answer: LCM of 705, 500, 935, 995, 351 is 306951430500.
2. How to calculate the LCM of 705, 500, 935, 995, 351?
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 705, 500, 935, 995, 351.
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}.