Find the LCM of 471, 737, 669, 658, 524 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 471, 737, 669, 658, 524. So, keep reading to learn more.
Given numbers are 471,737,669,658,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,737,669,658,524 is 13345057303116.
Find LCM of 471,737,669,658,524 with Prime Factorization
2 | 471, 737, 669, 658, 524 |
3 | 471, 737, 669, 329, 262 |
157, 737, 223, 329, 262 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 737 x 223 x 329 x 262 = 13345057303116
Therefore, the lowest common multiple of 471,737,669,658,524 is 13345057303116.
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.
471 x 737 x 669 x 658 x 524 = 80070343818696
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.
471 : 1, 3, 157, 471
737 : 1, 11, 67, 737
669 : 1, 3, 223, 669
658 : 1, 2, 7, 14, 47, 94, 329, 658
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,737,669,658,524, is 1.
Now, the common factors can be found like this.
471:3x 157
737:11x 67
669:3x 223
658:2x 7x 47
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 80070343818696/(1x6)
LCM = 80070343818696/6
LCM = 13345057303116
Thus, we can understand that the LCM of 471,737,669,658,524 is 13345057303116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 737, 669, 658, 524?
Answer: LCM of 471, 737, 669, 658, 524 is 13345057303116.
2. How to calculate the LCM of 471, 737, 669, 658, 524?
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 471, 737, 669, 658, 524.
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}.