Least Common Multiple of 49/98, 29/69, 39/24, 80/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/98, 29/69, 39/24, 80/178 quickly i.e. 4433520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/98, 29/69, 39/24, 80/178 is 4433520.

LCM(49/98, 29/69, 39/24, 80/178) = 4433520

LCM of 49/98, 29/69, 39/24, 80/178

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 49/98,29/69,39/24,80/178

Given numbers are 49/98,29/69,39/24,80/178

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 49,29,39,80

Least Common Multiple of Numerators i.e. LCM of 49,29,39,80 is 4433520.

GCF of Denominators means GCF of 98,69,24,178 as per the given fractions.

GCF of 98,69,24,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,29,39,80

LCM of Fractions 49/98,29/69,39/24,80/178 is 4433520

Given numbers has no common factors except 1. So, there LCM is their product i.e 4433520

Least Common Multiple of 49,29,39,80 with GCF Formula

Least Common Multiple of 49,29,39,80 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 49,29,39,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,29,39,80) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,29,39,80) x common factors =1 x 1 = 1

LCM(49,29,39,80) = ( 49 × 29 × 39 × 80 ) / 1

LCM(49,29,39,80) = 4433520 / 1

LCM(49,29,39,80) = 4433520


Lets's calculate GCF of 98,69,24,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4433520/1

Therefore the LCM of Fractions 49/98,29/69,39/24,80/178 is 4433520

Greatest Common Factor of 98,69,24,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,69,24,178 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 98,69,24,178 . The biggest common factor number is the GCF number.
So the greatest common factor 98,69,24,178 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/98, 29/69, 39/24, 80/178

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 49/98, 29/69, 39/24, 80/178?

Answer: LCM of Numerators as per given numbers 49/98, 29/69, 39/24, 80/178 is

LCM of Numerators i.e. for 49,29,39,80 is 4433520

GCF of denominators i.e. for 98,69,24,178 is 1.

Thus, LCM of Fractions is 4433520.Finally, LCM of Fractions for 49/98, 29/69, 39/24, 80/178 is 4433520.