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LCM of 346, 757, 383, 710, 956

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


Find the LCM of 346, 757, 383, 710, 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 346, 757, 383, 710, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,757,383,710,956

Given numbers are 346,757,383,710,956

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

The LCM of 346,757,383,710,956 is 17022643420940.

Find LCM of 346,757,383,710,956 with Prime Factorization


2 346, 757, 383, 710, 956
173, 757, 383, 355, 478

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

2 x 173 x 757 x 383 x 355 x 478 = 17022643420940

Therefore, the lowest common multiple of 346,757,383,710,956 is 17022643420940.

LCM Formula to Find Lowest Common Multiple of 346,757,383,710,956

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.

346 x 757 x 383 x 710 x 956 = 68090573683760

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.

346 : 1, 2, 173, 346

757 : 1, 757

383 : 1, 383

710 : 1, 2, 5, 10, 71, 142, 355, 710

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 346,757,383,710,956, is 1.

Now, the common factors can be found like this.

346:2x 173

757:757

383:383

710:2x 5x 71

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 2 = 4

Therefore, the value for common factors is 4.

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 = 68090573683760/(1x4)

LCM = 68090573683760/4

LCM = 17022643420940

Thus, we can understand that the LCM of 346,757,383,710,956 is 17022643420940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 757, 383, 710, 956

1. What is the LCM of 346, 757, 383, 710, 956?

Answer: LCM of 346, 757, 383, 710, 956 is 17022643420940.

2. How to calculate the LCM of 346, 757, 383, 710, 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 346, 757, 383, 710, 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}.