LCM of 690, 743, 598, 169, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 743, 598, 169, 865 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 690, 743, 598, 169, 865. So, keep reading to learn more.
Given numbers are 690,743,598,169,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,743,598,169,865 is 14988932790.
Find LCM of 690,743,598,169,865 with Prime Factorization
| 2 | 690, 743, 598, 169, 865 |
| 5 | 345, 743, 299, 169, 865 |
| 13 | 69, 743, 299, 169, 173 |
| 23 | 69, 743, 23, 13, 173 |
| 3, 743, 1, 13, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 23 x 3 x 743 x 1 x 13 x 173 = 14988932790
Therefore, the lowest common multiple of 690,743,598,169,865 is 14988932790.
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.
690 x 743 x 598 x 169 x 865 = 44816909042100
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
743 : 1, 743
598 : 1, 2, 13, 23, 26, 46, 299, 598
169 : 1, 13, 169
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,743,598,169,865, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
743:743
598:2x 13x 23
169:13x 13
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 23 = 2990
Therefore, the value for common factors is 2990.
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 = 44816909042100/(1x2990)
LCM = 44816909042100/2990
LCM = 14988932790
Thus, we can understand that the LCM of 690,743,598,169,865 is 14988932790.
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FAQs on LCM of 690, 743, 598, 169, 865
1. What is the LCM of 690, 743, 598, 169, 865?
Answer: LCM of 690, 743, 598, 169, 865 is 14988932790.
2. How to calculate the LCM of 690, 743, 598, 169, 865?
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 690, 743, 598, 169, 865.
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}.