Least Common Multiple of 55/656, 17/545, 685/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/656, 17/545, 685/474 quickly i.e. 128095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/656, 17/545, 685/474 is 128095.

LCM(55/656, 17/545, 685/474) = 128095

LCM of 55/656, 17/545, 685/474

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 55/656,17/545,685/474

Given numbers are 55/656,17/545,685/474

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 55,17,685

Least Common Multiple of Numerators i.e. LCM of 55,17,685 is 128095.

GCF of Denominators means GCF of 656,545,474 as per the given fractions.

GCF of 656,545,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,17,685

LCM of Fractions 55/656,17/545,685/474 is 128095

5 55, 17, 685
11, 17, 137

∴ So the LCM of the given numbers is 5 x 11 x 17 x 137 = 128095

Least Common Multiple of 55,17,685 with GCF Formula

Least Common Multiple of 55,17,685 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 55,17,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,17,685) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,17,685) x common factors =1 x 5 = 5

LCM(55,17,685) = ( 55 × 17 × 685 ) / 5

LCM(55,17,685) = 640475 / 5

LCM(55,17,685) = 128095


Lets's calculate GCF of 656,545,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128095/1

Therefore the LCM of Fractions 55/656,17/545,685/474 is 128095

Greatest Common Factor of 656,545,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,545,474 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 656,545,474 . The biggest common factor number is the GCF number.
So the greatest common factor 656,545,474 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 55/656, 17/545, 685/474

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 55/656, 17/545, 685/474?

Answer: LCM of Numerators as per given numbers 55/656, 17/545, 685/474 is

LCM of Numerators i.e. for 55,17,685 is 128095

GCF of denominators i.e. for 656,545,474 is 1.

Thus, LCM of Fractions is 128095.Finally, LCM of Fractions for 55/656, 17/545, 685/474 is 128095.