LCM of 312, 898, 761, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 898, 761, 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 312, 898, 761, 689. So, keep reading to learn more.
Given numbers are 312,898,761,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,898,761,689 is 5650169304.
Find LCM of 312,898,761,689 with Prime Factorization
| 2 | 312, 898, 761, 689 |
| 13 | 156, 449, 761, 689 |
| 12, 449, 761, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 12 x 449 x 761 x 53 = 5650169304
Therefore, the lowest common multiple of 312,898,761,689 is 5650169304.
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.
312 x 898 x 761 x 689 = 146904401904
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
898 : 1, 2, 449, 898
761 : 1, 761
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,898,761,689, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
898:2x 449
761:761
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 13 = 26
Therefore, the value for common factors is 26.
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 = 146904401904/(1x26)
LCM = 146904401904/26
LCM = 5650169304
Thus, we can understand that the LCM of 312,898,761,689 is 5650169304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 898, 761, 689
1. What is the LCM of 312, 898, 761, 689?
Answer: LCM of 312, 898, 761, 689 is 5650169304.
2. How to calculate the LCM of 312, 898, 761, 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 312, 898, 761, 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}.