Find the LCM of 651, 714, 532, 652 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 651, 714, 532, 652. So, keep reading to learn more.
Given numbers are 651,714,532,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,714,532,652 is 137097996.
Find LCM of 651,714,532,652 with Prime Factorization
2 | 651, 714, 532, 652 |
2 | 651, 357, 266, 326 |
3 | 651, 357, 133, 163 |
7 | 217, 119, 133, 163 |
31, 17, 19, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 17 x 19 x 163 = 137097996
Therefore, the lowest common multiple of 651,714,532,652 is 137097996.
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.
651 x 714 x 532 x 652 = 161227243296
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,714,532,652, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
714:2x 3x 7x 17
532:2x 2x 7x 19
652:2x 2x 163
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 161227243296/(1x1176)
LCM = 161227243296/1176
LCM = 137097996
Thus, we can understand that the LCM of 651,714,532,652 is 137097996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 651, 714, 532, 652?
Answer: LCM of 651, 714, 532, 652 is 137097996.
2. How to calculate the LCM of 651, 714, 532, 652?
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 651, 714, 532, 652.
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}.