LCM of 406, 312, 319, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 312, 319, 689 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 406, 312, 319, 689. So, keep reading to learn more.
Given numbers are 406,312,319,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,312,319,689 is 36924888.
Find LCM of 406,312,319,689 with Prime Factorization
| 2 | 406, 312, 319, 689 |
| 13 | 203, 156, 319, 689 |
| 29 | 203, 12, 319, 53 |
| 7, 12, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 7 x 12 x 11 x 53 = 36924888
Therefore, the lowest common multiple of 406,312,319,689 is 36924888.
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.
406 x 312 x 319 x 689 = 27841365552
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
319 : 1, 11, 29, 319
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,312,319,689, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
312:2x 2x 2x 3x 13
319:11x 29
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 29 = 754
Therefore, the value for common factors is 754.
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 = 27841365552/(1x754)
LCM = 27841365552/754
LCM = 36924888
Thus, we can understand that the LCM of 406,312,319,689 is 36924888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 406, 312, 319, 689
1. What is the LCM of 406, 312, 319, 689?
Answer: LCM of 406, 312, 319, 689 is 36924888.
2. How to calculate the LCM of 406, 312, 319, 689?
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 406, 312, 319, 689.
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}.