LCM of 893, 572, 274, 507, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 572, 274, 507, 988 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 893, 572, 274, 507, 988. So, keep reading to learn more.
Given numbers are 893,572,274,507,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,572,274,507,988 is 2729183028.
Find LCM of 893,572,274,507,988 with Prime Factorization
| 2 | 893, 572, 274, 507, 988 |
| 2 | 893, 286, 137, 507, 494 |
| 13 | 893, 143, 137, 507, 247 |
| 19 | 893, 11, 137, 39, 19 |
| 47, 11, 137, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 47 x 11 x 137 x 39 x 1 = 2729183028
Therefore, the lowest common multiple of 893,572,274,507,988 is 2729183028.
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.
893 x 572 x 274 x 507 x 988 = 70107253623264
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.
893 : 1, 19, 47, 893
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
274 : 1, 2, 137, 274
507 : 1, 3, 13, 39, 169, 507
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,572,274,507,988, is 1.
Now, the common factors can be found like this.
893:19x 47
572:2x 2x 11x 13
274:2x 137
507:3x 13x 13
988:2x 2x 13x 19
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 13x 13x 19 = 25688
Therefore, the value for common factors is 25688.
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 = 70107253623264/(1x25688)
LCM = 70107253623264/25688
LCM = 2729183028
Thus, we can understand that the LCM of 893,572,274,507,988 is 2729183028.
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FAQs on LCM of 893, 572, 274, 507, 988
1. What is the LCM of 893, 572, 274, 507, 988?
Answer: LCM of 893, 572, 274, 507, 988 is 2729183028.
2. How to calculate the LCM of 893, 572, 274, 507, 988?
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 893, 572, 274, 507, 988.
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}.