Least Common Multiple of 55/94, 95/73, 23/67, 14/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/94, 95/73, 23/67, 14/774 quickly i.e. 336490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/94, 95/73, 23/67, 14/774 is 336490.

LCM(55/94, 95/73, 23/67, 14/774) = 336490

LCM of 55/94, 95/73, 23/67, 14/774

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 55/94,95/73,23/67,14/774

Given numbers are 55/94,95/73,23/67,14/774

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 55,95,23,14

Least Common Multiple of Numerators i.e. LCM of 55,95,23,14 is 336490.

GCF of Denominators means GCF of 94,73,67,774 as per the given fractions.

GCF of 94,73,67,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,95,23,14

LCM of Fractions 55/94,95/73,23/67,14/774 is 336490

5 55, 95, 23, 14
11, 19, 23, 14

∴ So the LCM of the given numbers is 5 x 11 x 19 x 23 x 14 = 336490

Least Common Multiple of 55,95,23,14 with GCF Formula

Least Common Multiple of 55,95,23,14 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 55,95,23,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,95,23,14) = 1

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

GCF(55,95,23,14) x common factors =1 x 5 = 5

LCM(55,95,23,14) = ( 55 × 95 × 23 × 14 ) / 5

LCM(55,95,23,14) = 1682450 / 5

LCM(55,95,23,14) = 336490


Lets's calculate GCF of 94,73,67,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336490/1

Therefore the LCM of Fractions 55/94,95/73,23/67,14/774 is 336490

Greatest Common Factor of 94,73,67,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,73,67,774 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 94,73,67,774 . The biggest common factor number is the GCF number.
So the greatest common factor 94,73,67,774 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 55/94, 95/73, 23/67, 14/774

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 55/94, 95/73, 23/67, 14/774?

Answer: LCM of Numerators as per given numbers 55/94, 95/73, 23/67, 14/774 is

LCM of Numerators i.e. for 55,95,23,14 is 336490

GCF of denominators i.e. for 94,73,67,774 is 1.

Thus, LCM of Fractions is 336490.Finally, LCM of Fractions for 55/94, 95/73, 23/67, 14/774 is 336490.