Least Common Multiple of 82/293, 946/901, 688/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/293, 946/901, 688/449 quickly i.e. 310288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/293, 946/901, 688/449 is 310288.

LCM(82/293, 946/901, 688/449) = 310288

LCM of 82/293, 946/901, 688/449

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 82/293,946/901,688/449

Given numbers are 82/293,946/901,688/449

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 82,946,688

Least Common Multiple of Numerators i.e. LCM of 82,946,688 is 310288.

GCF of Denominators means GCF of 293,901,449 as per the given fractions.

GCF of 293,901,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,946,688

LCM of Fractions 82/293,946/901,688/449 is 310288

2 82, 946, 688
43 41, 473, 344
41, 11, 8

∴ So the LCM of the given numbers is 2 x 43 x 41 x 11 x 8 = 310288

Least Common Multiple of 82,946,688 with GCF Formula

Least Common Multiple of 82,946,688 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 82,946,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,946,688) = 2

common factors(in case of two or more numbers have common factors) = 86

GCF(82,946,688) x common factors =2 x 86 = 172

LCM(82,946,688) = ( 82 × 946 × 688 ) / 172

LCM(82,946,688) = 53369536 / 172

LCM(82,946,688) = 310288


Lets's calculate GCF of 293,901,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310288/1

Therefore the LCM of Fractions 82/293,946/901,688/449 is 310288

Greatest Common Factor of 293,901,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,901,449 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 293,901,449 . The biggest common factor number is the GCF number.
So the greatest common factor 293,901,449 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 82/293, 946/901, 688/449

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 82/293, 946/901, 688/449?

Answer: LCM of Numerators as per given numbers 82/293, 946/901, 688/449 is

LCM of Numerators i.e. for 82,946,688 is 310288

GCF of denominators i.e. for 293,901,449 is 1.

Thus, LCM of Fractions is 310288.Finally, LCM of Fractions for 82/293, 946/901, 688/449 is 310288.