LCM of 376, 748, 893, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 748, 893, 357 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 376, 748, 893, 357. So, keep reading to learn more.
Given numbers are 376,748,893,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,748,893,357 is 28054488.
Find LCM of 376,748,893,357 with Prime Factorization
| 2 | 376, 748, 893, 357 |
| 2 | 188, 374, 893, 357 |
| 17 | 94, 187, 893, 357 |
| 47 | 94, 11, 893, 21 |
| 2, 11, 19, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 47 x 2 x 11 x 19 x 21 = 28054488
Therefore, the lowest common multiple of 376,748,893,357 is 28054488.
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.
376 x 748 x 893 x 357 = 89662143648
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
893 : 1, 19, 47, 893
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,748,893,357, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
748:2x 2x 11x 17
893:19x 47
357:3x 7x 17
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 17x 47 = 3196
Therefore, the value for common factors is 3196.
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 = 89662143648/(1x3196)
LCM = 89662143648/3196
LCM = 28054488
Thus, we can understand that the LCM of 376,748,893,357 is 28054488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 376, 748, 893, 357
1. What is the LCM of 376, 748, 893, 357?
Answer: LCM of 376, 748, 893, 357 is 28054488.
2. How to calculate the LCM of 376, 748, 893, 357?
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 376, 748, 893, 357.
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}.