LCM of 846, 674, 630, 618, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 674, 630, 618, 699 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 846, 674, 630, 618, 699. So, keep reading to learn more.
Given numbers are 846,674,630,618,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,674,630,618,699 is 239475701430.
Find LCM of 846,674,630,618,699 with Prime Factorization
| 2 | 846, 674, 630, 618, 699 |
| 3 | 423, 337, 315, 309, 699 |
| 3 | 141, 337, 105, 103, 233 |
| 47, 337, 35, 103, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 337 x 35 x 103 x 233 = 239475701430
Therefore, the lowest common multiple of 846,674,630,618,699 is 239475701430.
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.
846 x 674 x 630 x 618 x 699 = 155180254526640
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
674 : 1, 2, 337, 674
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
618 : 1, 2, 3, 6, 103, 206, 309, 618
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,674,630,618,699, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
674:2x 337
630:2x 3x 3x 5x 7
618:2x 3x 103
699:3x 233
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 155180254526640/(1x648)
LCM = 155180254526640/648
LCM = 239475701430
Thus, we can understand that the LCM of 846,674,630,618,699 is 239475701430.
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FAQs on LCM of 846, 674, 630, 618, 699
1. What is the LCM of 846, 674, 630, 618, 699?
Answer: LCM of 846, 674, 630, 618, 699 is 239475701430.
2. How to calculate the LCM of 846, 674, 630, 618, 699?
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 846, 674, 630, 618, 699.
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}.