Find the LCM of 101, 870, 735, 740 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 101, 870, 735, 740. So, keep reading to learn more.
Given numbers are 101,870,735,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,870,735,740 is 318616620.
Find LCM of 101,870,735,740 with Prime Factorization
2 | 101, 870, 735, 740 |
3 | 101, 435, 735, 370 |
5 | 101, 145, 245, 370 |
101, 29, 49, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 29 x 49 x 74 = 318616620
Therefore, the lowest common multiple of 101,870,735,740 is 318616620.
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.
101 x 870 x 735 x 740 = 47792493000
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.
101 : 1, 101
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,870,735,740, is 1.
Now, the common factors can be found like this.
101:101
870:2x 3x 5x 29
735:3x 5x 7x 7
740:2x 2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 47792493000/(1x150)
LCM = 47792493000/150
LCM = 318616620
Thus, we can understand that the LCM of 101,870,735,740 is 318616620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 870, 735, 740?
Answer: LCM of 101, 870, 735, 740 is 318616620.
2. How to calculate the LCM of 101, 870, 735, 740?
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 101, 870, 735, 740.
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}.