LCM of 756, 346, 748, 228, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 346, 748, 228, 148 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 756, 346, 748, 228, 148. So, keep reading to learn more.
Given numbers are 756,346,748,228,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,346,748,228,148 is 17193521268.
Find LCM of 756,346,748,228,148 with Prime Factorization
| 2 | 756, 346, 748, 228, 148 |
| 2 | 378, 173, 374, 114, 74 |
| 3 | 189, 173, 187, 57, 37 |
| 63, 173, 187, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 63 x 173 x 187 x 19 x 37 = 17193521268
Therefore, the lowest common multiple of 756,346,748,228,148 is 17193521268.
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.
756 x 346 x 748 x 228 x 148 = 6602312166912
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
346 : 1, 2, 173, 346
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
148 : 1, 2, 4, 37, 74, 148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,346,748,228,148, is 2.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
346:2x 173
748:2x 2x 11x 17
228:2x 2x 3x 19
148:2x 2x 37
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 6602312166912/(2x192)
LCM = 6602312166912/384
LCM = 17193521268
Thus, we can understand that the LCM of 756,346,748,228,148 is 17193521268.
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FAQs on LCM of 756, 346, 748, 228, 148
1. What is the LCM of 756, 346, 748, 228, 148?
Answer: LCM of 756, 346, 748, 228, 148 is 17193521268.
2. How to calculate the LCM of 756, 346, 748, 228, 148?
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 756, 346, 748, 228, 148.
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}.