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LCM of 461, 974, 248, 743

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 461, 974, 248, 743 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 461, 974, 248, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,974,248,743

Given numbers are 461,974,248,743

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 461,974,248,743 is 41368557848.

Find LCM of 461,974,248,743 with Prime Factorization


2 461, 974, 248, 743
461, 487, 124, 743

Multiply the prime numbers at the bottom and the left side.

2 x 461 x 487 x 124 x 743 = 41368557848

Therefore, the lowest common multiple of 461,974,248,743 is 41368557848.

LCM Formula to Find Lowest Common Multiple of 461,974,248,743

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.

461 x 974 x 248 x 743 = 82737115696

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.

461 : 1, 461

974 : 1, 2, 487, 974

248 : 1, 2, 4, 8, 31, 62, 124, 248

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,974,248,743, is 1.

Now, the common factors can be found like this.

461:461

974:2x 487

248:2x 2x 2x 31

743:743

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 82737115696/(1x2)

LCM = 82737115696/2

LCM = 41368557848

Thus, we can understand that the LCM of 461,974,248,743 is 41368557848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 974, 248, 743

1. What is the LCM of 461, 974, 248, 743?

Answer: LCM of 461, 974, 248, 743 is 41368557848.

2. How to calculate the LCM of 461, 974, 248, 743?

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 461, 974, 248, 743.

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}.