LCM of 846, 575, 276, 334, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 575, 276, 334, 914 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 846, 575, 276, 334, 914. So, keep reading to learn more.
Given numbers are 846,575,276,334,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,575,276,334,914 is 74250755100.
Find LCM of 846,575,276,334,914 with Prime Factorization
| 2 | 846, 575, 276, 334, 914 |
| 3 | 423, 575, 138, 167, 457 |
| 23 | 141, 575, 46, 167, 457 |
| 141, 25, 2, 167, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 141 x 25 x 2 x 167 x 457 = 74250755100
Therefore, the lowest common multiple of 846,575,276,334,914 is 74250755100.
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.
846 x 575 x 276 x 334 x 914 = 40986416815200
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
575 : 1, 5, 23, 25, 115, 575
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
334 : 1, 2, 167, 334
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,575,276,334,914, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
575:5x 5x 23
276:2x 2x 3x 23
334:2x 167
914:2x 457
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 2x 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 40986416815200/(1x552)
LCM = 40986416815200/552
LCM = 74250755100
Thus, we can understand that the LCM of 846,575,276,334,914 is 74250755100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 846, 575, 276, 334, 914
1. What is the LCM of 846, 575, 276, 334, 914?
Answer: LCM of 846, 575, 276, 334, 914 is 74250755100.
2. How to calculate the LCM of 846, 575, 276, 334, 914?
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 846, 575, 276, 334, 914.
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}.