LCM of 624, 407, 169, 303, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 407, 169, 303, 972 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 624, 407, 169, 303, 972. So, keep reading to learn more.
Given numbers are 624,407,169,303,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,407,169,303,972 is 27010258704.
Find LCM of 624,407,169,303,972 with Prime Factorization
| 2 | 624, 407, 169, 303, 972 |
| 2 | 312, 407, 169, 303, 486 |
| 3 | 156, 407, 169, 303, 243 |
| 13 | 52, 407, 169, 101, 81 |
| 4, 407, 13, 101, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 4 x 407 x 13 x 101 x 81 = 27010258704
Therefore, the lowest common multiple of 624,407,169,303,972 is 27010258704.
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.
624 x 407 x 169 x 303 x 972 = 12640801073472
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
407 : 1, 11, 37, 407
169 : 1, 13, 169
303 : 1, 3, 101, 303
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,407,169,303,972, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
407:11x 37
169:13x 13
303:3x 101
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 12640801073472/(1x468)
LCM = 12640801073472/468
LCM = 27010258704
Thus, we can understand that the LCM of 624,407,169,303,972 is 27010258704.
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FAQs on LCM of 624, 407, 169, 303, 972
1. What is the LCM of 624, 407, 169, 303, 972?
Answer: LCM of 624, 407, 169, 303, 972 is 27010258704.
2. How to calculate the LCM of 624, 407, 169, 303, 972?
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 624, 407, 169, 303, 972.
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}.