Find the LCM of 105, 700, 360, 724, 689 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 105, 700, 360, 724, 689. So, keep reading to learn more.
Given numbers are 105,700,360,724,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,700,360,724,689 is 1571333400.
Find LCM of 105,700,360,724,689 with Prime Factorization
2 | 105, 700, 360, 724, 689 |
2 | 105, 350, 180, 362, 689 |
3 | 105, 175, 90, 181, 689 |
5 | 35, 175, 30, 181, 689 |
7 | 7, 35, 6, 181, 689 |
1, 5, 6, 181, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 5 x 6 x 181 x 689 = 1571333400
Therefore, the lowest common multiple of 105,700,360,724,689 is 1571333400.
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.
105 x 700 x 360 x 724 x 689 = 13199200560000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
724 : 1, 2, 4, 181, 362, 724
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,700,360,724,689, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
700:2x 2x 5x 5x 7
360:2x 2x 2x 3x 3x 5
724:2x 2x 181
689:13x 53
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 3x 5x 5x 7 = 8400
Therefore, the value for common factors is 8400.
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 = 13199200560000/(1x8400)
LCM = 13199200560000/8400
LCM = 1571333400
Thus, we can understand that the LCM of 105,700,360,724,689 is 1571333400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 700, 360, 724, 689?
Answer: LCM of 105, 700, 360, 724, 689 is 1571333400.
2. How to calculate the LCM of 105, 700, 360, 724, 689?
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 105, 700, 360, 724, 689.
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}.