LCM of 365, 974, 169, 631, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 974, 169, 631, 624 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 365, 974, 169, 631, 624. So, keep reading to learn more.
Given numbers are 365,974,169,631,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,974,169,631,624 is 909869541360.
Find LCM of 365,974,169,631,624 with Prime Factorization
| 2 | 365, 974, 169, 631, 624 |
| 13 | 365, 487, 169, 631, 312 |
| 365, 487, 13, 631, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 365 x 487 x 13 x 631 x 24 = 909869541360
Therefore, the lowest common multiple of 365,974,169,631,624 is 909869541360.
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.
365 x 974 x 169 x 631 x 624 = 23656608075360
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.
365 : 1, 5, 73, 365
974 : 1, 2, 487, 974
169 : 1, 13, 169
631 : 1, 631
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,974,169,631,624, is 1.
Now, the common factors can be found like this.
365:5x 73
974:2x 487
169:13x 13
631:631
624:2x 2x 2x 2x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 23656608075360/(1x26)
LCM = 23656608075360/26
LCM = 909869541360
Thus, we can understand that the LCM of 365,974,169,631,624 is 909869541360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 365, 974, 169, 631, 624
1. What is the LCM of 365, 974, 169, 631, 624?
Answer: LCM of 365, 974, 169, 631, 624 is 909869541360.
2. How to calculate the LCM of 365, 974, 169, 631, 624?
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 365, 974, 169, 631, 624.
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}.