Find the LCM of 688, 724, 290, 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 688, 724, 290, 624. So, keep reading to learn more.
Given numbers are 688,724,290,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,724,290,624 is 704205840.
Find LCM of 688,724,290,624 with Prime Factorization
2 | 688, 724, 290, 624 |
2 | 344, 362, 145, 312 |
2 | 172, 181, 145, 156 |
2 | 86, 181, 145, 78 |
43, 181, 145, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 181 x 145 x 39 = 704205840
Therefore, the lowest common multiple of 688,724,290,624 is 704205840.
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.
688 x 724 x 290 x 624 = 90138347520
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
724 : 1, 2, 4, 181, 362, 724
290 : 1, 2, 5, 10, 29, 58, 145, 290
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,724,290,624, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
724:2x 2x 181
290:2x 5x 29
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 90138347520/(2x64)
LCM = 90138347520/128
LCM = 704205840
Thus, we can understand that the LCM of 688,724,290,624 is 704205840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 724, 290, 624?
Answer: LCM of 688, 724, 290, 624 is 704205840.
2. How to calculate the LCM of 688, 724, 290, 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 688, 724, 290, 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}.