Least Common Multiple of 51/67, 49/31, 671/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/67, 49/31, 671/49 quickly i.e. 1676829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/67, 49/31, 671/49 is 1676829.

LCM(51/67, 49/31, 671/49) = 1676829

LCM of 51/67, 49/31, 671/49

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 51/67,49/31,671/49

Given numbers are 51/67,49/31,671/49

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 51,49,671

Least Common Multiple of Numerators i.e. LCM of 51,49,671 is 1676829.

GCF of Denominators means GCF of 67,31,49 as per the given fractions.

GCF of 67,31,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,49,671

LCM of Fractions 51/67,49/31,671/49 is 1676829

Given numbers has no common factors except 1. So, there LCM is their product i.e 1676829

Least Common Multiple of 51,49,671 with GCF Formula

Least Common Multiple of 51,49,671 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 51,49,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,49,671) = 1

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

GCF(51,49,671) x common factors =1 x 1 = 1

LCM(51,49,671) = ( 51 × 49 × 671 ) / 1

LCM(51,49,671) = 1676829 / 1

LCM(51,49,671) = 1676829


Lets's calculate GCF of 67,31,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1676829/1

Therefore the LCM of Fractions 51/67,49/31,671/49 is 1676829

Greatest Common Factor of 67,31,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,31,49 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 67,31,49 . The biggest common factor number is the GCF number.
So the greatest common factor 67,31,49 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 51/67, 49/31, 671/49

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 51/67, 49/31, 671/49?

Answer: LCM of Numerators as per given numbers 51/67, 49/31, 671/49 is

LCM of Numerators i.e. for 51,49,671 is 1676829

GCF of denominators i.e. for 67,31,49 is 1.

Thus, LCM of Fractions is 1676829.Finally, LCM of Fractions for 51/67, 49/31, 671/49 is 1676829.