LCM of 167, 946, 754, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 946, 754, 733 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 167, 946, 754, 733. So, keep reading to learn more.
Given numbers are 167,946,754,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,946,754,733 is 43656903862.
Find LCM of 167,946,754,733 with Prime Factorization
| 2 | 167, 946, 754, 733 |
| 167, 473, 377, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 167 x 473 x 377 x 733 = 43656903862
Therefore, the lowest common multiple of 167,946,754,733 is 43656903862.
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.
167 x 946 x 754 x 733 = 87313807724
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.
167 : 1, 167
946 : 1, 2, 11, 22, 43, 86, 473, 946
754 : 1, 2, 13, 26, 29, 58, 377, 754
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,946,754,733, is 1.
Now, the common factors can be found like this.
167:167
946:2x 11x 43
754:2x 13x 29
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 87313807724/(1x2)
LCM = 87313807724/2
LCM = 43656903862
Thus, we can understand that the LCM of 167,946,754,733 is 43656903862.
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FAQs on LCM of 167, 946, 754, 733
1. What is the LCM of 167, 946, 754, 733?
Answer: LCM of 167, 946, 754, 733 is 43656903862.
2. How to calculate the LCM of 167, 946, 754, 733?
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 167, 946, 754, 733.
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}.