LCM of 435, 667, 841, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 667, 841, 492 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 435, 667, 841, 492. So, keep reading to learn more.
Given numbers are 435,667,841,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,667,841,492 is 47583780.
Find LCM of 435,667,841,492 with Prime Factorization
| 3 | 435, 667, 841, 492 |
| 29 | 145, 667, 841, 164 |
| 5, 23, 29, 164 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 5 x 23 x 29 x 164 = 47583780
Therefore, the lowest common multiple of 435,667,841,492 is 47583780.
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.
435 x 667 x 841 x 492 = 120053876940
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
667 : 1, 23, 29, 667
841 : 1, 29, 841
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,667,841,492, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
667:23x 29
841:29x 29
492:2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 29 = 2523
Therefore, the value for common factors is 2523.
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 = 120053876940/(1x2523)
LCM = 120053876940/2523
LCM = 47583780
Thus, we can understand that the LCM of 435,667,841,492 is 47583780.
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FAQs on LCM of 435, 667, 841, 492
1. What is the LCM of 435, 667, 841, 492?
Answer: LCM of 435, 667, 841, 492 is 47583780.
2. How to calculate the LCM of 435, 667, 841, 492?
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 435, 667, 841, 492.
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}.