LCM of 695, 781, 945, 213, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 781, 945, 213, 676 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 695, 781, 945, 213, 676. So, keep reading to learn more.
Given numbers are 695,781,945,213,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,781,945,213,676 is 69349660380.
Find LCM of 695,781,945,213,676 with Prime Factorization
| 3 | 695, 781, 945, 213, 676 |
| 5 | 695, 781, 315, 71, 676 |
| 71 | 139, 781, 63, 71, 676 |
| 139, 11, 63, 1, 676 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 71 x 139 x 11 x 63 x 1 x 676 = 69349660380
Therefore, the lowest common multiple of 695,781,945,213,676 is 69349660380.
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.
695 x 781 x 945 x 213 x 676 = 73857388304700
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.
695 : 1, 5, 139, 695
781 : 1, 11, 71, 781
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
213 : 1, 3, 71, 213
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,781,945,213,676, is 1.
Now, the common factors can be found like this.
695:5x 139
781:11x 71
945:3x 3x 3x 5x 7
213:3x 71
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 71 = 1065
Therefore, the value for common factors is 1065.
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 = 73857388304700/(1x1065)
LCM = 73857388304700/1065
LCM = 69349660380
Thus, we can understand that the LCM of 695,781,945,213,676 is 69349660380.
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FAQs on LCM of 695, 781, 945, 213, 676
1. What is the LCM of 695, 781, 945, 213, 676?
Answer: LCM of 695, 781, 945, 213, 676 is 69349660380.
2. How to calculate the LCM of 695, 781, 945, 213, 676?
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 695, 781, 945, 213, 676.
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}.