Least Common Multiple of 873/845, 741/152, 614/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/845, 741/152, 614/364 quickly i.e. 132397434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/845, 741/152, 614/364 is 132397434.

LCM(873/845, 741/152, 614/364) = 132397434

LCM of 873/845, 741/152, 614/364

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 873/845,741/152,614/364

Given numbers are 873/845,741/152,614/364

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 873,741,614

Least Common Multiple of Numerators i.e. LCM of 873,741,614 is 132397434.

GCF of Denominators means GCF of 845,152,364 as per the given fractions.

GCF of 845,152,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,741,614

LCM of Fractions 873/845,741/152,614/364 is 132397434

3 873, 741, 614
291, 247, 614

∴ So the LCM of the given numbers is 3 x 291 x 247 x 614 = 132397434

Least Common Multiple of 873,741,614 with GCF Formula

Least Common Multiple of 873,741,614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 873,741,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,741,614) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(873,741,614) x common factors =1 x 3 = 3

LCM(873,741,614) = ( 873 × 741 × 614 ) / 3

LCM(873,741,614) = 397192302 / 3

LCM(873,741,614) = 132397434


Lets's calculate GCF of 845,152,364

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132397434/1

Therefore the LCM of Fractions 873/845,741/152,614/364 is 132397434

Greatest Common Factor of 845,152,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,152,364 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 845,152,364 . The biggest common factor number is the GCF number.
So the greatest common factor 845,152,364 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 873/845, 741/152, 614/364

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 873/845, 741/152, 614/364?

Answer: LCM of Numerators as per given numbers 873/845, 741/152, 614/364 is

LCM of Numerators i.e. for 873,741,614 is 132397434

GCF of denominators i.e. for 845,152,364 is 1.

Thus, LCM of Fractions is 132397434.Finally, LCM of Fractions for 873/845, 741/152, 614/364 is 132397434.