Least Common Multiple of 18/278, 98/337, 134/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/278, 98/337, 134/711 quickly i.e. 59094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/278, 98/337, 134/711 is 59094.

LCM(18/278, 98/337, 134/711) = 59094

LCM of 18/278, 98/337, 134/711

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 18/278,98/337,134/711

Given numbers are 18/278,98/337,134/711

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 18,98,134

Least Common Multiple of Numerators i.e. LCM of 18,98,134 is 59094.

GCF of Denominators means GCF of 278,337,711 as per the given fractions.

GCF of 278,337,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,98,134

LCM of Fractions 18/278,98/337,134/711 is 59094

2 18, 98, 134
9, 49, 67

∴ So the LCM of the given numbers is 2 x 9 x 49 x 67 = 59094

Least Common Multiple of 18,98,134 with GCF Formula

Least Common Multiple of 18,98,134 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 18,98,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,98,134) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(18,98,134) x common factors =2 x 2 = 4

LCM(18,98,134) = ( 18 × 98 × 134 ) / 4

LCM(18,98,134) = 236376 / 4

LCM(18,98,134) = 59094


Lets's calculate GCF of 278,337,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59094/1

Therefore the LCM of Fractions 18/278,98/337,134/711 is 59094

Greatest Common Factor of 278,337,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,337,711 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 278,337,711 . The biggest common factor number is the GCF number.
So the greatest common factor 278,337,711 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/278, 98/337, 134/711

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 18/278, 98/337, 134/711?

Answer: LCM of Numerators as per given numbers 18/278, 98/337, 134/711 is

LCM of Numerators i.e. for 18,98,134 is 59094

GCF of denominators i.e. for 278,337,711 is 1.

Thus, LCM of Fractions is 59094.Finally, LCM of Fractions for 18/278, 98/337, 134/711 is 59094.