Least Common Multiple of 68/187, 49/626, 119/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/187, 49/626, 119/134 quickly i.e. 3332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/187, 49/626, 119/134 is 3332.

LCM(68/187, 49/626, 119/134) = 3332

LCM of 68/187, 49/626, 119/134

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 68/187,49/626,119/134

Given numbers are 68/187,49/626,119/134

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 68,49,119

Least Common Multiple of Numerators i.e. LCM of 68,49,119 is 3332.

GCF of Denominators means GCF of 187,626,134 as per the given fractions.

GCF of 187,626,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,49,119

LCM of Fractions 68/187,49/626,119/134 is 3332

7 68, 49, 119
17 68, 7, 17
4, 7, 1

∴ So the LCM of the given numbers is 7 x 17 x 4 x 7 x 1 = 3332

Least Common Multiple of 68,49,119 with GCF Formula

Least Common Multiple of 68,49,119 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 68,49,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,49,119) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(68,49,119) x common factors =1 x 119 = 119

LCM(68,49,119) = ( 68 × 49 × 119 ) / 119

LCM(68,49,119) = 396508 / 119

LCM(68,49,119) = 3332


Lets's calculate GCF of 187,626,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3332/1

Therefore the LCM of Fractions 68/187,49/626,119/134 is 3332

Greatest Common Factor of 187,626,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,626,134 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 187,626,134 . The biggest common factor number is the GCF number.
So the greatest common factor 187,626,134 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/187, 49/626, 119/134

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 68/187, 49/626, 119/134?

Answer: LCM of Numerators as per given numbers 68/187, 49/626, 119/134 is

LCM of Numerators i.e. for 68,49,119 is 3332

GCF of denominators i.e. for 187,626,134 is 1.

Thus, LCM of Fractions is 3332.Finally, LCM of Fractions for 68/187, 49/626, 119/134 is 3332.