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LCM of 139, 527, 217, 573, 974

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


Find the LCM of 139, 527, 217, 573, 974 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 139, 527, 217, 573, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,527,217,573,974

Given numbers are 139,527,217,573,974

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

The LCM of 139,527,217,573,974 is 286178520642.

Find LCM of 139,527,217,573,974 with Prime Factorization


31 139, 527, 217, 573, 974
139, 17, 7, 573, 974

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

31 x 139 x 17 x 7 x 573 x 974 = 286178520642

Therefore, the lowest common multiple of 139,527,217,573,974 is 286178520642.

LCM Formula to Find Lowest Common Multiple of 139,527,217,573,974

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.

139 x 527 x 217 x 573 x 974 = 8871534139902

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.

139 : 1, 139

527 : 1, 17, 31, 527

217 : 1, 7, 31, 217

573 : 1, 3, 191, 573

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,527,217,573,974, is 1.

Now, the common factors can be found like this.

139:139

527:17x 31

217:7x 31

573:3x 191

974:2x 487

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

31 = 31

Therefore, the value for common factors is 31.

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 = 8871534139902/(1x31)

LCM = 8871534139902/31

LCM = 286178520642

Thus, we can understand that the LCM of 139,527,217,573,974 is 286178520642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 527, 217, 573, 974

1. What is the LCM of 139, 527, 217, 573, 974?

Answer: LCM of 139, 527, 217, 573, 974 is 286178520642.

2. How to calculate the LCM of 139, 527, 217, 573, 974?

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 139, 527, 217, 573, 974.

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}.