LCM of 930, 490, 735, 345, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 490, 735, 345, 751 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 930, 490, 735, 345, 751. So, keep reading to learn more.
Given numbers are 930,490,735,345,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,490,735,345,751 is 787130610.
Find LCM of 930,490,735,345,751 with Prime Factorization
| 2 | 930, 490, 735, 345, 751 |
| 3 | 465, 245, 735, 345, 751 |
| 5 | 155, 245, 245, 115, 751 |
| 7 | 31, 49, 49, 23, 751 |
| 7 | 31, 7, 7, 23, 751 |
| 31, 1, 1, 23, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 31 x 1 x 1 x 23 x 751 = 787130610
Therefore, the lowest common multiple of 930,490,735,345,751 is 787130610.
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.
930 x 490 x 735 x 345 x 751 = 86781149752500
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
345 : 1, 3, 5, 15, 23, 69, 115, 345
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,490,735,345,751, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
490:2x 5x 7x 7
735:3x 5x 7x 7
345:3x 5x 23
751:751
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 5x 7x 7 = 110250
Therefore, the value for common factors is 110250.
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 = 86781149752500/(1x110250)
LCM = 86781149752500/110250
LCM = 787130610
Thus, we can understand that the LCM of 930,490,735,345,751 is 787130610.
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FAQs on LCM of 930, 490, 735, 345, 751
1. What is the LCM of 930, 490, 735, 345, 751?
Answer: LCM of 930, 490, 735, 345, 751 is 787130610.
2. How to calculate the LCM of 930, 490, 735, 345, 751?
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 930, 490, 735, 345, 751.
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}.