LCM of 642, 956, 678, 638, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 956, 678, 638, 758 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 642, 956, 678, 638, 758. So, keep reading to learn more.
Given numbers are 642,956,678,638,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,956,678,638,758 is 4192482526188.
Find LCM of 642,956,678,638,758 with Prime Factorization
| 2 | 642, 956, 678, 638, 758 |
| 3 | 321, 478, 339, 319, 379 |
| 107, 478, 113, 319, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 478 x 113 x 319 x 379 = 4192482526188
Therefore, the lowest common multiple of 642,956,678,638,758 is 4192482526188.
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.
642 x 956 x 678 x 638 x 758 = 201239161257024
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
956 : 1, 2, 4, 239, 478, 956
678 : 1, 2, 3, 6, 113, 226, 339, 678
638 : 1, 2, 11, 22, 29, 58, 319, 638
758 : 1, 2, 379, 758
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,956,678,638,758, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
956:2x 2x 239
678:2x 3x 113
638:2x 11x 29
758:2x 379
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 3 = 24
Therefore, the value for common factors is 24.
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 = 201239161257024/(2x24)
LCM = 201239161257024/48
LCM = 4192482526188
Thus, we can understand that the LCM of 642,956,678,638,758 is 4192482526188.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 956, 678, 638, 758
1. What is the LCM of 642, 956, 678, 638, 758?
Answer: LCM of 642, 956, 678, 638, 758 is 4192482526188.
2. How to calculate the LCM of 642, 956, 678, 638, 758?
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 642, 956, 678, 638, 758.
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}.