LCM of 526, 867, 774, 970, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 867, 774, 970, 140 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 526, 867, 774, 970, 140. So, keep reading to learn more.
Given numbers are 526,867,774,970,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,867,774,970,140 is 399451748220.
Find LCM of 526,867,774,970,140 with Prime Factorization
| 2 | 526, 867, 774, 970, 140 |
| 3 | 263, 867, 387, 485, 70 |
| 5 | 263, 289, 129, 485, 70 |
| 263, 289, 129, 97, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 263 x 289 x 129 x 97 x 14 = 399451748220
Therefore, the lowest common multiple of 526,867,774,970,140 is 399451748220.
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.
526 x 867 x 774 x 970 x 140 = 47934209786400
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.
526 : 1, 2, 263, 526
867 : 1, 3, 17, 51, 289, 867
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
970 : 1, 2, 5, 10, 97, 194, 485, 970
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,867,774,970,140, is 1.
Now, the common factors can be found like this.
526:2x 263
867:3x 17x 17
774:2x 3x 3x 43
970:2x 5x 97
140:2x 2x 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 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 47934209786400/(1x120)
LCM = 47934209786400/120
LCM = 399451748220
Thus, we can understand that the LCM of 526,867,774,970,140 is 399451748220.
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FAQs on LCM of 526, 867, 774, 970, 140
1. What is the LCM of 526, 867, 774, 970, 140?
Answer: LCM of 526, 867, 774, 970, 140 is 399451748220.
2. How to calculate the LCM of 526, 867, 774, 970, 140?
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 526, 867, 774, 970, 140.
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}.