LCM of 234, 634, 676, 936, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 634, 676, 936, 237 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 234, 634, 676, 936, 237. So, keep reading to learn more.
Given numbers are 234,634,676,936,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,634,676,936,237 is 304723224.
Find LCM of 234,634,676,936,237 with Prime Factorization
| 2 | 234, 634, 676, 936, 237 |
| 2 | 117, 317, 338, 468, 237 |
| 3 | 117, 317, 169, 234, 237 |
| 3 | 39, 317, 169, 78, 79 |
| 13 | 13, 317, 169, 26, 79 |
| 1, 317, 13, 2, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 317 x 13 x 2 x 79 = 304723224
Therefore, the lowest common multiple of 234,634,676,936,237 is 304723224.
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.
234 x 634 x 676 x 936 x 237 = 22247233137792
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
634 : 1, 2, 317, 634
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,634,676,936,237, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
634:2x 317
676:2x 2x 13x 13
936:2x 2x 2x 3x 3x 13
237:3x 79
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 3x 3x 13x 13 = 73008
Therefore, the value for common factors is 73008.
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 = 22247233137792/(1x73008)
LCM = 22247233137792/73008
LCM = 304723224
Thus, we can understand that the LCM of 234,634,676,936,237 is 304723224.
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FAQs on LCM of 234, 634, 676, 936, 237
1. What is the LCM of 234, 634, 676, 936, 237?
Answer: LCM of 234, 634, 676, 936, 237 is 304723224.
2. How to calculate the LCM of 234, 634, 676, 936, 237?
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 234, 634, 676, 936, 237.
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}.