Least Common Multiple of 49/39, 11/58, 67/11, 67/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/39, 11/58, 67/11, 67/154 quickly i.e. 36113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/39, 11/58, 67/11, 67/154 is 36113.

LCM(49/39, 11/58, 67/11, 67/154) = 36113

LCM of 49/39, 11/58, 67/11, 67/154

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 49/39,11/58,67/11,67/154

Given numbers are 49/39,11/58,67/11,67/154

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 49,11,67,67

Least Common Multiple of Numerators i.e. LCM of 49,11,67,67 is 36113.

GCF of Denominators means GCF of 39,58,11,154 as per the given fractions.

GCF of 39,58,11,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,11,67,67

LCM of Fractions 49/39,11/58,67/11,67/154 is 36113

67 49, 11, 67, 67
49, 11, 1, 1

∴ So the LCM of the given numbers is 67 x 49 x 11 x 1 x 1 = 36113

Least Common Multiple of 49,11,67,67 with GCF Formula

Least Common Multiple of 49,11,67,67 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 49,11,67,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,11,67,67) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(49,11,67,67) x common factors =1 x 67 = 67

LCM(49,11,67,67) = ( 49 × 11 × 67 × 67 ) / 67

LCM(49,11,67,67) = 2419571 / 67

LCM(49,11,67,67) = 36113


Lets's calculate GCF of 39,58,11,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36113/1

Therefore the LCM of Fractions 49/39,11/58,67/11,67/154 is 36113

Greatest Common Factor of 39,58,11,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,58,11,154 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 39,58,11,154 . The biggest common factor number is the GCF number.
So the greatest common factor 39,58,11,154 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 49/39, 11/58, 67/11, 67/154

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 49/39, 11/58, 67/11, 67/154?

Answer: LCM of Numerators as per given numbers 49/39, 11/58, 67/11, 67/154 is

LCM of Numerators i.e. for 49,11,67,67 is 36113

GCF of denominators i.e. for 39,58,11,154 is 1.

Thus, LCM of Fractions is 36113.Finally, LCM of Fractions for 49/39, 11/58, 67/11, 67/154 is 36113.