LCM of 706, 272, 276, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 272, 276, 420 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 706, 272, 276, 420. So, keep reading to learn more.
Given numbers are 706,272,276,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,272,276,420 is 231878640.
Find LCM of 706,272,276,420 with Prime Factorization
| 2 | 706, 272, 276, 420 |
| 2 | 353, 136, 138, 210 |
| 3 | 353, 68, 69, 105 |
| 353, 68, 23, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 353 x 68 x 23 x 35 = 231878640
Therefore, the lowest common multiple of 706,272,276,420 is 231878640.
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.
706 x 272 x 276 x 420 = 22260349440
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.
706 : 1, 2, 353, 706
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,272,276,420, is 2.
Now, the common factors can be found like this.
706:2x 353
272:2x 2x 2x 2x 17
276:2x 2x 3x 23
420:2x 2x 3x 5x 7
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 22260349440/(2x48)
LCM = 22260349440/96
LCM = 231878640
Thus, we can understand that the LCM of 706,272,276,420 is 231878640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 272, 276, 420
1. What is the LCM of 706, 272, 276, 420?
Answer: LCM of 706, 272, 276, 420 is 231878640.
2. How to calculate the LCM of 706, 272, 276, 420?
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 706, 272, 276, 420.
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}.