LCM of 189, 497, 234, 756, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 497, 234, 756, 967 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 189, 497, 234, 756, 967. So, keep reading to learn more.
Given numbers are 189,497,234,756,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,497,234,756,967 is 674760996.
Find LCM of 189,497,234,756,967 with Prime Factorization
| 2 | 189, 497, 234, 756, 967 |
| 3 | 189, 497, 117, 378, 967 |
| 3 | 63, 497, 39, 126, 967 |
| 3 | 21, 497, 13, 42, 967 |
| 7 | 7, 497, 13, 14, 967 |
| 1, 71, 13, 2, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 1 x 71 x 13 x 2 x 967 = 674760996
Therefore, the lowest common multiple of 189,497,234,756,967 is 674760996.
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.
189 x 497 x 234 x 756 x 967 = 16068758358744
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
497 : 1, 7, 71, 497
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,497,234,756,967, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
497:7x 71
234:2x 3x 3x 13
756:2x 2x 3x 3x 3x 7
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 7x 7 = 23814
Therefore, the value for common factors is 23814.
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 = 16068758358744/(1x23814)
LCM = 16068758358744/23814
LCM = 674760996
Thus, we can understand that the LCM of 189,497,234,756,967 is 674760996.
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FAQs on LCM of 189, 497, 234, 756, 967
1. What is the LCM of 189, 497, 234, 756, 967?
Answer: LCM of 189, 497, 234, 756, 967 is 674760996.
2. How to calculate the LCM of 189, 497, 234, 756, 967?
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 189, 497, 234, 756, 967.
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}.