Find the LCM of 970, 150, 724, 932, 770 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 970, 150, 724, 932, 770. So, keep reading to learn more.
Given numbers are 970,150,724,932,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,150,724,932,770 is 94497041100.
Find LCM of 970,150,724,932,770 with Prime Factorization
2 | 970, 150, 724, 932, 770 |
2 | 485, 75, 362, 466, 385 |
5 | 485, 75, 181, 233, 385 |
97, 15, 181, 233, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 97 x 15 x 181 x 233 x 77 = 94497041100
Therefore, the lowest common multiple of 970,150,724,932,770 is 94497041100.
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.
970 x 150 x 724 x 932 x 770 = 75597632880000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
724 : 1, 2, 4, 181, 362, 724
932 : 1, 2, 4, 233, 466, 932
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,150,724,932,770, is 2.
Now, the common factors can be found like this.
970:2x 5x 97
150:2x 3x 5x 5
724:2x 2x 181
932:2x 2x 233
770:2x 5x 7x 11
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 75597632880000/(2x400)
LCM = 75597632880000/800
LCM = 94497041100
Thus, we can understand that the LCM of 970,150,724,932,770 is 94497041100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 150, 724, 932, 770?
Answer: LCM of 970, 150, 724, 932, 770 is 94497041100.
2. How to calculate the LCM of 970, 150, 724, 932, 770?
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 970, 150, 724, 932, 770.
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}.