LCM of 113, 902, 572, 546, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 902, 572, 546, 403 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 113, 902, 572, 546, 403. So, keep reading to learn more.
Given numbers are 113,902,572,546,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,902,572,546,403 is 1725199476.
Find LCM of 113,902,572,546,403 with Prime Factorization
| 2 | 113, 902, 572, 546, 403 |
| 11 | 113, 451, 286, 273, 403 |
| 13 | 113, 41, 26, 273, 403 |
| 113, 41, 2, 21, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 113 x 41 x 2 x 21 x 31 = 1725199476
Therefore, the lowest common multiple of 113,902,572,546,403 is 1725199476.
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.
113 x 902 x 572 x 546 x 403 = 12828583303536
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.
113 : 1, 113
902 : 1, 2, 11, 22, 41, 82, 451, 902
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,902,572,546,403, is 1.
Now, the common factors can be found like this.
113:113
902:2x 11x 41
572:2x 2x 11x 13
546:2x 3x 7x 13
403:13x 31
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 11x 13x 13 = 7436
Therefore, the value for common factors is 7436.
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 = 12828583303536/(1x7436)
LCM = 12828583303536/7436
LCM = 1725199476
Thus, we can understand that the LCM of 113,902,572,546,403 is 1725199476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 902, 572, 546, 403
1. What is the LCM of 113, 902, 572, 546, 403?
Answer: LCM of 113, 902, 572, 546, 403 is 1725199476.
2. How to calculate the LCM of 113, 902, 572, 546, 403?
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 113, 902, 572, 546, 403.
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}.