LCM of 594, 308, 142, 994, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 308, 142, 994, 971 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 594, 308, 142, 994, 971. So, keep reading to learn more.
Given numbers are 594,308,142,994,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,308,142,994,971 is 573313356.
Find LCM of 594,308,142,994,971 with Prime Factorization
| 2 | 594, 308, 142, 994, 971 |
| 7 | 297, 154, 71, 497, 971 |
| 11 | 297, 22, 71, 71, 971 |
| 71 | 27, 2, 71, 71, 971 |
| 27, 2, 1, 1, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 71 x 27 x 2 x 1 x 1 x 971 = 573313356
Therefore, the lowest common multiple of 594,308,142,994,971 is 573313356.
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.
594 x 308 x 142 x 994 x 971 = 25074432938016
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
142 : 1, 2, 71, 142
994 : 1, 2, 7, 14, 71, 142, 497, 994
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,308,142,994,971, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
308:2x 2x 7x 11
142:2x 71
994:2x 7x 71
971:971
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 7x 11x 71 = 43736
Therefore, the value for common factors is 43736.
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 = 25074432938016/(1x43736)
LCM = 25074432938016/43736
LCM = 573313356
Thus, we can understand that the LCM of 594,308,142,994,971 is 573313356.
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FAQs on LCM of 594, 308, 142, 994, 971
1. What is the LCM of 594, 308, 142, 994, 971?
Answer: LCM of 594, 308, 142, 994, 971 is 573313356.
2. How to calculate the LCM of 594, 308, 142, 994, 971?
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 594, 308, 142, 994, 971.
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}.