LCM of 971, 749, 150, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 749, 150, 700 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 971, 749, 150, 700. So, keep reading to learn more.
Given numbers are 971,749,150,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,749,150,700 is 218183700.
Find LCM of 971,749,150,700 with Prime Factorization
| 2 | 971, 749, 150, 700 |
| 5 | 971, 749, 75, 350 |
| 5 | 971, 749, 15, 70 |
| 7 | 971, 749, 3, 14 |
| 971, 107, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 971 x 107 x 3 x 2 = 218183700
Therefore, the lowest common multiple of 971,749,150,700 is 218183700.
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.
971 x 749 x 150 x 700 = 76364295000
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.
971 : 1, 971
749 : 1, 7, 107, 749
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,749,150,700, is 1.
Now, the common factors can be found like this.
971:971
749:7x 107
150:2x 3x 5x 5
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7 = 350
Therefore, the value for common factors is 350.
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 = 76364295000/(1x350)
LCM = 76364295000/350
LCM = 218183700
Thus, we can understand that the LCM of 971,749,150,700 is 218183700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 971, 749, 150, 700
1. What is the LCM of 971, 749, 150, 700?
Answer: LCM of 971, 749, 150, 700 is 218183700.
2. How to calculate the LCM of 971, 749, 150, 700?
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 971, 749, 150, 700.
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}.