Find the LCM of 658, 440, 635, 735, 988 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 658, 440, 635, 735, 988. So, keep reading to learn more.
Given numbers are 658,440,635,735,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,440,635,735,988 is 95360505240.
Find LCM of 658,440,635,735,988 with Prime Factorization
2 | 658, 440, 635, 735, 988 |
2 | 329, 220, 635, 735, 494 |
5 | 329, 110, 635, 735, 247 |
7 | 329, 22, 127, 147, 247 |
47, 22, 127, 21, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 47 x 22 x 127 x 21 x 247 = 95360505240
Therefore, the lowest common multiple of 658,440,635,735,988 is 95360505240.
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.
658 x 440 x 635 x 735 x 988 = 133504707336000
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
635 : 1, 5, 127, 635
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,440,635,735,988, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
440:2x 2x 2x 5x 11
635:5x 127
735:3x 5x 7x 7
988:2x 2x 13x 19
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 2x 5x 5x 7 = 1400
Therefore, the value for common factors is 1400.
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 = 133504707336000/(1x1400)
LCM = 133504707336000/1400
LCM = 95360505240
Thus, we can understand that the LCM of 658,440,635,735,988 is 95360505240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 440, 635, 735, 988?
Answer: LCM of 658, 440, 635, 735, 988 is 95360505240.
2. How to calculate the LCM of 658, 440, 635, 735, 988?
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 658, 440, 635, 735, 988.
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}.