LCM of 781, 781, 478, 274, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 781, 478, 274, 956 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 781, 781, 478, 274, 956. So, keep reading to learn more.
Given numbers are 781,781,478,274,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,781,478,274,956 is 102289132.
Find LCM of 781,781,478,274,956 with Prime Factorization
| 2 | 781, 781, 478, 274, 956 |
| 11 | 781, 781, 239, 137, 478 |
| 71 | 71, 71, 239, 137, 478 |
| 239 | 1, 1, 239, 137, 478 |
| 1, 1, 1, 137, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 239 x 1 x 1 x 1 x 137 x 2 = 102289132
Therefore, the lowest common multiple of 781,781,478,274,956 is 102289132.
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.
781 x 781 x 478 x 274 x 956 = 76372748359952
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.
781 : 1, 11, 71, 781
781 : 1, 11, 71, 781
478 : 1, 2, 239, 478
274 : 1, 2, 137, 274
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,781,478,274,956, is 1.
Now, the common factors can be found like this.
781:11x 71
781:11x 71
478:2x 239
274:2x 137
956:2x 2x 239
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 11x 71x 239 = 746636
Therefore, the value for common factors is 746636.
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 = 76372748359952/(1x746636)
LCM = 76372748359952/746636
LCM = 102289132
Thus, we can understand that the LCM of 781,781,478,274,956 is 102289132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 781, 478, 274, 956
1. What is the LCM of 781, 781, 478, 274, 956?
Answer: LCM of 781, 781, 478, 274, 956 is 102289132.
2. How to calculate the LCM of 781, 781, 478, 274, 956?
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 781, 781, 478, 274, 956.
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}.