LCM of 490, 491, 897, 572, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 491, 897, 572, 894 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 490, 491, 897, 572, 894. So, keep reading to learn more.
Given numbers are 490,491,897,572,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,491,897,572,894 is 707422655940.
Find LCM of 490,491,897,572,894 with Prime Factorization
| 2 | 490, 491, 897, 572, 894 |
| 3 | 245, 491, 897, 286, 447 |
| 13 | 245, 491, 299, 286, 149 |
| 245, 491, 23, 22, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 245 x 491 x 23 x 22 x 149 = 707422655940
Therefore, the lowest common multiple of 490,491,897,572,894 is 707422655940.
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.
490 x 491 x 897 x 572 x 894 = 110357934326640
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
491 : 1, 491
897 : 1, 3, 13, 23, 39, 69, 299, 897
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,491,897,572,894, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
491:491
897:3x 13x 23
572:2x 2x 11x 13
894:2x 3x 149
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 110357934326640/(1x156)
LCM = 110357934326640/156
LCM = 707422655940
Thus, we can understand that the LCM of 490,491,897,572,894 is 707422655940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 490, 491, 897, 572, 894
1. What is the LCM of 490, 491, 897, 572, 894?
Answer: LCM of 490, 491, 897, 572, 894 is 707422655940.
2. How to calculate the LCM of 490, 491, 897, 572, 894?
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 490, 491, 897, 572, 894.
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}.