LCM of 971, 361, 312, 980, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 361, 312, 980, 702 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, 361, 312, 980, 702. So, keep reading to learn more.
Given numbers are 971,361,312,980,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,361,312,980,702 is 241151306760.
Find LCM of 971,361,312,980,702 with Prime Factorization
| 2 | 971, 361, 312, 980, 702 |
| 2 | 971, 361, 156, 490, 351 |
| 3 | 971, 361, 78, 245, 351 |
| 13 | 971, 361, 26, 245, 117 |
| 971, 361, 2, 245, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 971 x 361 x 2 x 245 x 9 = 241151306760
Therefore, the lowest common multiple of 971,361,312,980,702 is 241151306760.
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 361 x 312 x 980 x 702 = 75239207709120
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
361 : 1, 19, 361
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,361,312,980,702, is 1.
Now, the common factors can be found like this.
971:971
361:19x 19
312:2x 2x 2x 3x 13
980:2x 2x 5x 7x 7
702:2x 3x 3x 3x 13
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 75239207709120/(1x312)
LCM = 75239207709120/312
LCM = 241151306760
Thus, we can understand that the LCM of 971,361,312,980,702 is 241151306760.
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FAQs on LCM of 971, 361, 312, 980, 702
1. What is the LCM of 971, 361, 312, 980, 702?
Answer: LCM of 971, 361, 312, 980, 702 is 241151306760.
2. How to calculate the LCM of 971, 361, 312, 980, 702?
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, 361, 312, 980, 702.
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}.