LCM of 556, 261, 435, 841, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 261, 435, 841, 423 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 556, 261, 435, 841, 423. So, keep reading to learn more.
Given numbers are 556,261,435,841,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,261,435,841,423 is 988965540.
Find LCM of 556,261,435,841,423 with Prime Factorization
| 3 | 556, 261, 435, 841, 423 |
| 3 | 556, 87, 145, 841, 141 |
| 29 | 556, 29, 145, 841, 47 |
| 556, 1, 5, 29, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 556 x 1 x 5 x 29 x 47 = 988965540
Therefore, the lowest common multiple of 556,261,435,841,423 is 988965540.
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.
556 x 261 x 435 x 841 x 423 = 22456440516780
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.
556 : 1, 2, 4, 139, 278, 556
261 : 1, 3, 9, 29, 87, 261
435 : 1, 3, 5, 15, 29, 87, 145, 435
841 : 1, 29, 841
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,261,435,841,423, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
261:3x 3x 29
435:3x 5x 29
841:29x 29
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 29x 29 = 22707
Therefore, the value for common factors is 22707.
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 = 22456440516780/(1x22707)
LCM = 22456440516780/22707
LCM = 988965540
Thus, we can understand that the LCM of 556,261,435,841,423 is 988965540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 261, 435, 841, 423
1. What is the LCM of 556, 261, 435, 841, 423?
Answer: LCM of 556, 261, 435, 841, 423 is 988965540.
2. How to calculate the LCM of 556, 261, 435, 841, 423?
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 556, 261, 435, 841, 423.
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}.