LCM of 942, 594, 767, 594, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 594, 767, 594, 858 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 942, 594, 767, 594, 858. So, keep reading to learn more.
Given numbers are 942,594,767,594,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,594,767,594,858 is 71528886.
Find LCM of 942,594,767,594,858 with Prime Factorization
| 2 | 942, 594, 767, 594, 858 |
| 3 | 471, 297, 767, 297, 429 |
| 3 | 157, 99, 767, 99, 143 |
| 3 | 157, 33, 767, 33, 143 |
| 11 | 157, 11, 767, 11, 143 |
| 13 | 157, 1, 767, 1, 13 |
| 157, 1, 59, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 13 x 157 x 1 x 59 x 1 x 1 = 71528886
Therefore, the lowest common multiple of 942,594,767,594,858 is 71528886.
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.
942 x 594 x 767 x 594 x 858 = 218729038846032
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
767 : 1, 13, 59, 767
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,594,767,594,858, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
594:2x 3x 3x 3x 11
767:13x 59
594:2x 3x 3x 3x 11
858:2x 3x 11x 13
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 3x 3x 3x 3x 3x 11x 11x 13 = 3057912
Therefore, the value for common factors is 3057912.
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 = 218729038846032/(1x3057912)
LCM = 218729038846032/3057912
LCM = 71528886
Thus, we can understand that the LCM of 942,594,767,594,858 is 71528886.
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FAQs on LCM of 942, 594, 767, 594, 858
1. What is the LCM of 942, 594, 767, 594, 858?
Answer: LCM of 942, 594, 767, 594, 858 is 71528886.
2. How to calculate the LCM of 942, 594, 767, 594, 858?
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 942, 594, 767, 594, 858.
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}.