LCM of 902, 836, 772, 889, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 836, 772, 889, 626 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 902, 836, 772, 889, 626. So, keep reading to learn more.
Given numbers are 902,836,772,889,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,836,772,889,626 is 1840744627876.
Find LCM of 902,836,772,889,626 with Prime Factorization
| 2 | 902, 836, 772, 889, 626 |
| 2 | 451, 418, 386, 889, 313 |
| 11 | 451, 209, 193, 889, 313 |
| 41, 19, 193, 889, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 41 x 19 x 193 x 889 x 313 = 1840744627876
Therefore, the lowest common multiple of 902,836,772,889,626 is 1840744627876.
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.
902 x 836 x 772 x 889 x 626 = 323971054506176
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
772 : 1, 2, 4, 193, 386, 772
889 : 1, 7, 127, 889
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,836,772,889,626, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
836:2x 2x 11x 19
772:2x 2x 193
889:7x 127
626:2x 313
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 11 = 176
Therefore, the value for common factors is 176.
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 = 323971054506176/(1x176)
LCM = 323971054506176/176
LCM = 1840744627876
Thus, we can understand that the LCM of 902,836,772,889,626 is 1840744627876.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 836, 772, 889, 626
1. What is the LCM of 902, 836, 772, 889, 626?
Answer: LCM of 902, 836, 772, 889, 626 is 1840744627876.
2. How to calculate the LCM of 902, 836, 772, 889, 626?
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 902, 836, 772, 889, 626.
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}.