LCM of 658, 716, 437, 611, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 716, 437, 611, 624 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, 716, 437, 611, 624. So, keep reading to learn more.
Given numbers are 658,716,437,611,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,716,437,611,624 is 16058869008.
Find LCM of 658,716,437,611,624 with Prime Factorization
| 2 | 658, 716, 437, 611, 624 |
| 2 | 329, 358, 437, 611, 312 |
| 13 | 329, 179, 437, 611, 156 |
| 47 | 329, 179, 437, 47, 12 |
| 7, 179, 437, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 47 x 7 x 179 x 437 x 1 x 12 = 16058869008
Therefore, the lowest common multiple of 658,716,437,611,624 is 16058869008.
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 716 x 437 x 611 x 624 = 78495751711104
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
716 : 1, 2, 4, 179, 358, 716
437 : 1, 19, 23, 437
611 : 1, 13, 47, 611
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,716,437,611,624, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
716:2x 2x 179
437:19x 23
611:13x 47
624:2x 2x 2x 2x 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.
2x 2x 2x 13x 47 = 4888
Therefore, the value for common factors is 4888.
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 = 78495751711104/(1x4888)
LCM = 78495751711104/4888
LCM = 16058869008
Thus, we can understand that the LCM of 658,716,437,611,624 is 16058869008.
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FAQs on LCM of 658, 716, 437, 611, 624
1. What is the LCM of 658, 716, 437, 611, 624?
Answer: LCM of 658, 716, 437, 611, 624 is 16058869008.
2. How to calculate the LCM of 658, 716, 437, 611, 624?
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, 716, 437, 611, 624.
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}.