LCM of 970, 296, 253, 748, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 296, 253, 748, 222 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, 296, 253, 748, 222. So, keep reading to learn more.
Given numbers are 970,296,253,748,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,296,253,748,222 is 1852354680.
Find LCM of 970,296,253,748,222 with Prime Factorization
| 2 | 970, 296, 253, 748, 222 |
| 2 | 485, 148, 253, 374, 111 |
| 11 | 485, 74, 253, 187, 111 |
| 37 | 485, 74, 23, 17, 111 |
| 485, 2, 23, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 485 x 2 x 23 x 17 x 3 = 1852354680
Therefore, the lowest common multiple of 970,296,253,748,222 is 1852354680.
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 296 x 253 x 748 x 222 = 12062533676160
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
253 : 1, 11, 23, 253
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,296,253,748,222, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
296:2x 2x 2x 37
253:11x 23
748:2x 2x 11x 17
222:2x 3x 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 2x 2x 2x 11x 37 = 6512
Therefore, the value for common factors is 6512.
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 = 12062533676160/(1x6512)
LCM = 12062533676160/6512
LCM = 1852354680
Thus, we can understand that the LCM of 970,296,253,748,222 is 1852354680.
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FAQs on LCM of 970, 296, 253, 748, 222
1. What is the LCM of 970, 296, 253, 748, 222?
Answer: LCM of 970, 296, 253, 748, 222 is 1852354680.
2. How to calculate the LCM of 970, 296, 253, 748, 222?
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, 296, 253, 748, 222.
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}.