LCM of 236, 148, 666, 690, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 148, 666, 690, 391 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 236, 148, 666, 690, 391. So, keep reading to learn more.
Given numbers are 236,148,666,690,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,148,666,690,391 is 153639540.
Find LCM of 236,148,666,690,391 with Prime Factorization
| 2 | 236, 148, 666, 690, 391 |
| 2 | 118, 74, 333, 345, 391 |
| 3 | 59, 37, 333, 345, 391 |
| 23 | 59, 37, 111, 115, 391 |
| 37 | 59, 37, 111, 5, 17 |
| 59, 1, 3, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 37 x 59 x 1 x 3 x 5 x 17 = 153639540
Therefore, the lowest common multiple of 236,148,666,690,391 is 153639540.
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.
236 x 148 x 666 x 690 x 391 = 6275867929920
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.
236 : 1, 2, 4, 59, 118, 236
148 : 1, 2, 4, 37, 74, 148
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,148,666,690,391, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
148:2x 2x 37
666:2x 3x 3x 37
690:2x 3x 5x 23
391:17x 23
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 3x 23x 37 = 40848
Therefore, the value for common factors is 40848.
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 = 6275867929920/(1x40848)
LCM = 6275867929920/40848
LCM = 153639540
Thus, we can understand that the LCM of 236,148,666,690,391 is 153639540.
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FAQs on LCM of 236, 148, 666, 690, 391
1. What is the LCM of 236, 148, 666, 690, 391?
Answer: LCM of 236, 148, 666, 690, 391 is 153639540.
2. How to calculate the LCM of 236, 148, 666, 690, 391?
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 236, 148, 666, 690, 391.
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}.