LCM of 892, 572, 156, 374, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 572, 156, 374, 973 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 892, 572, 156, 374, 973. So, keep reading to learn more.
Given numbers are 892,572,156,374,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,572,156,374,973 is 6329711388.
Find LCM of 892,572,156,374,973 with Prime Factorization
| 2 | 892, 572, 156, 374, 973 |
| 2 | 446, 286, 78, 187, 973 |
| 11 | 223, 143, 39, 187, 973 |
| 13 | 223, 13, 39, 17, 973 |
| 223, 1, 3, 17, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 223 x 1 x 3 x 17 x 973 = 6329711388
Therefore, the lowest common multiple of 892,572,156,374,973 is 6329711388.
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.
892 x 572 x 156 x 374 x 973 = 28964759311488
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.
892 : 1, 2, 4, 223, 446, 892
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
374 : 1, 2, 11, 17, 22, 34, 187, 374
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,572,156,374,973, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
572:2x 2x 11x 13
156:2x 2x 3x 13
374:2x 11x 17
973:7x 139
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 2x 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 28964759311488/(1x4576)
LCM = 28964759311488/4576
LCM = 6329711388
Thus, we can understand that the LCM of 892,572,156,374,973 is 6329711388.
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FAQs on LCM of 892, 572, 156, 374, 973
1. What is the LCM of 892, 572, 156, 374, 973?
Answer: LCM of 892, 572, 156, 374, 973 is 6329711388.
2. How to calculate the LCM of 892, 572, 156, 374, 973?
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 892, 572, 156, 374, 973.
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}.