LCM of 902, 868, 492, 594, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 868, 492, 594, 852 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 902, 868, 492, 594, 852. So, keep reading to learn more.
Given numbers are 902,868,492,594,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,868,492,594,852 is 750444156.
Find LCM of 902,868,492,594,852 with Prime Factorization
| 2 | 902, 868, 492, 594, 852 |
| 2 | 451, 434, 246, 297, 426 |
| 3 | 451, 217, 123, 297, 213 |
| 11 | 451, 217, 41, 99, 71 |
| 41 | 41, 217, 41, 9, 71 |
| 1, 217, 1, 9, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 41 x 1 x 217 x 1 x 9 x 71 = 750444156
Therefore, the lowest common multiple of 902,868,492,594,852 is 750444156.
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.
902 x 868 x 492 x 594 x 852 = 194947381069056
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,868,492,594,852, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
868:2x 2x 7x 31
492:2x 2x 3x 41
594:2x 3x 3x 3x 11
852:2x 2x 3x 71
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 2x 2x 2x 3x 3x 11x 41 = 129888
Therefore, the value for common factors is 129888.
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 = 194947381069056/(2x129888)
LCM = 194947381069056/259776
LCM = 750444156
Thus, we can understand that the LCM of 902,868,492,594,852 is 750444156.
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FAQs on LCM of 902, 868, 492, 594, 852
1. What is the LCM of 902, 868, 492, 594, 852?
Answer: LCM of 902, 868, 492, 594, 852 is 750444156.
2. How to calculate the LCM of 902, 868, 492, 594, 852?
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 902, 868, 492, 594, 852.
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}.