Least Common Multiple of 24/614, 49/770, 404/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/614, 49/770, 404/171 quickly i.e. 118776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/614, 49/770, 404/171 is 118776.

LCM(24/614, 49/770, 404/171) = 118776

LCM of 24/614, 49/770, 404/171

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 24/614,49/770,404/171

Given numbers are 24/614,49/770,404/171

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 24,49,404

Least Common Multiple of Numerators i.e. LCM of 24,49,404 is 118776.

GCF of Denominators means GCF of 614,770,171 as per the given fractions.

GCF of 614,770,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,49,404

LCM of Fractions 24/614,49/770,404/171 is 118776

2 24, 49, 404
2 12, 49, 202
6, 49, 101

∴ So the LCM of the given numbers is 2 x 2 x 6 x 49 x 101 = 118776

Least Common Multiple of 24,49,404 with GCF Formula

Least Common Multiple of 24,49,404 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 24,49,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,49,404) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(24,49,404) x common factors =1 x 4 = 4

LCM(24,49,404) = ( 24 × 49 × 404 ) / 4

LCM(24,49,404) = 475104 / 4

LCM(24,49,404) = 118776


Lets's calculate GCF of 614,770,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118776/1

Therefore the LCM of Fractions 24/614,49/770,404/171 is 118776

Greatest Common Factor of 614,770,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,770,171 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 614,770,171 . The biggest common factor number is the GCF number.
So the greatest common factor 614,770,171 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 24/614, 49/770, 404/171

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 24/614, 49/770, 404/171?

Answer: LCM of Numerators as per given numbers 24/614, 49/770, 404/171 is

LCM of Numerators i.e. for 24,49,404 is 118776

GCF of denominators i.e. for 614,770,171 is 1.

Thus, LCM of Fractions is 118776.Finally, LCM of Fractions for 24/614, 49/770, 404/171 is 118776.