LCM of 735, 962, 957, 493, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 962, 957, 493, 680 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 735, 962, 957, 493, 680. So, keep reading to learn more.
Given numbers are 735,962,957,493,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,962,957,493,680 is 15337762440.
Find LCM of 735,962,957,493,680 with Prime Factorization
| 2 | 735, 962, 957, 493, 680 |
| 3 | 735, 481, 957, 493, 340 |
| 5 | 245, 481, 319, 493, 340 |
| 17 | 49, 481, 319, 493, 68 |
| 29 | 49, 481, 319, 29, 4 |
| 49, 481, 11, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 29 x 49 x 481 x 11 x 1 x 4 = 15337762440
Therefore, the lowest common multiple of 735,962,957,493,680 is 15337762440.
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.
735 x 962 x 957 x 493 x 680 = 226845506487600
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
962 : 1, 2, 13, 26, 37, 74, 481, 962
957 : 1, 3, 11, 29, 33, 87, 319, 957
493 : 1, 17, 29, 493
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,962,957,493,680, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
962:2x 13x 37
957:3x 11x 29
493:17x 29
680:2x 2x 2x 5x 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 3x 5x 17x 29 = 14790
Therefore, the value for common factors is 14790.
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 = 226845506487600/(1x14790)
LCM = 226845506487600/14790
LCM = 15337762440
Thus, we can understand that the LCM of 735,962,957,493,680 is 15337762440.
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FAQs on LCM of 735, 962, 957, 493, 680
1. What is the LCM of 735, 962, 957, 493, 680?
Answer: LCM of 735, 962, 957, 493, 680 is 15337762440.
2. How to calculate the LCM of 735, 962, 957, 493, 680?
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 735, 962, 957, 493, 680.
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}.