LCM of 141, 536, 994, 299, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 536, 994, 299, 756 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 141, 536, 994, 299, 756. So, keep reading to learn more.
Given numbers are 141,536,994,299,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,536,994,299,756 is 101077382952.
Find LCM of 141,536,994,299,756 with Prime Factorization
| 2 | 141, 536, 994, 299, 756 |
| 2 | 141, 268, 497, 299, 378 |
| 3 | 141, 134, 497, 299, 189 |
| 7 | 47, 134, 497, 299, 63 |
| 47, 134, 71, 299, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 134 x 71 x 299 x 9 = 101077382952
Therefore, the lowest common multiple of 141,536,994,299,756 is 101077382952.
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.
141 x 536 x 994 x 299 x 756 = 16981000335936
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.
141 : 1, 3, 47, 141
536 : 1, 2, 4, 8, 67, 134, 268, 536
994 : 1, 2, 7, 14, 71, 142, 497, 994
299 : 1, 13, 23, 299
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,536,994,299,756, is 1.
Now, the common factors can be found like this.
141:3x 47
536:2x 2x 2x 67
994:2x 7x 71
299:13x 23
756:2x 2x 3x 3x 3x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 16981000335936/(1x168)
LCM = 16981000335936/168
LCM = 101077382952
Thus, we can understand that the LCM of 141,536,994,299,756 is 101077382952.
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FAQs on LCM of 141, 536, 994, 299, 756
1. What is the LCM of 141, 536, 994, 299, 756?
Answer: LCM of 141, 536, 994, 299, 756 is 101077382952.
2. How to calculate the LCM of 141, 536, 994, 299, 756?
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 141, 536, 994, 299, 756.
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}.