LCM of 167, 690, 174, 319, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 690, 174, 319, 946 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, 690, 174, 319, 946. So, keep reading to learn more.
Given numbers are 167,690,174,319,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,690,174,319,946 is 1580609910.
Find LCM of 167,690,174,319,946 with Prime Factorization
| 2 | 167, 690, 174, 319, 946 |
| 3 | 167, 345, 87, 319, 473 |
| 11 | 167, 115, 29, 319, 473 |
| 29 | 167, 115, 29, 29, 43 |
| 167, 115, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 167 x 115 x 1 x 1 x 43 = 1580609910
Therefore, the lowest common multiple of 167,690,174,319,946 is 1580609910.
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 690 x 174 x 319 x 946 = 6050574735480
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
174 : 1, 2, 3, 6, 29, 58, 87, 174
319 : 1, 11, 29, 319
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,690,174,319,946, is 1.
Now, the common factors can be found like this.
167:167
690:2x 3x 5x 23
174:2x 3x 29
319:11x 29
946:2x 11x 43
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 3x 11x 29 = 3828
Therefore, the value for common factors is 3828.
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 = 6050574735480/(1x3828)
LCM = 6050574735480/3828
LCM = 1580609910
Thus, we can understand that the LCM of 167,690,174,319,946 is 1580609910.
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FAQs on LCM of 167, 690, 174, 319, 946
1. What is the LCM of 167, 690, 174, 319, 946?
Answer: LCM of 167, 690, 174, 319, 946 is 1580609910.
2. How to calculate the LCM of 167, 690, 174, 319, 946?
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, 690, 174, 319, 946.
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}.