Least Common Multiple of 306/126, 4692/6949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/126, 4692/6949 quickly i.e. 14076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/126, 4692/6949 is 14076.

LCM(306/126, 4692/6949) = 14076

LCM of 306/126, 4692/6949

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 306/126,4692/6949

Given numbers are 306/126,4692/6949

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 306,4692

Least Common Multiple of Numerators i.e. LCM of 306,4692 is 14076.

GCF of Denominators means GCF of 126,6949 as per the given fractions.

GCF of 126,6949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,4692

LCM of Fractions 306/126,4692/6949 is 14076

2 306, 4692
3 153, 2346
17 51, 782
3, 46

∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 46 = 14076

Least Common Multiple of 306,4692 with GCF Formula

Least Common Multiple of 306,4692 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 306,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,4692) = 102

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

GCF(306,4692) x common factors =102 x 1 = 102

LCM(306,4692) = ( 306 × 4692 ) / 102

LCM(306,4692) = 1435752 / 102

LCM(306,4692) = 14076


Lets's calculate GCF of 126,6949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14076/1

Therefore the LCM of Fractions 306/126,4692/6949 is 14076

Greatest Common Factor of 126,6949 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,6949 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1,6949

Greatest Common Factor

We found the factors 126,6949 . The biggest common factor number is the GCF number.
So the greatest common factor 126,6949 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 306/126, 4692/6949

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 306/126, 4692/6949?

Answer: LCM of Numerators as per given numbers 306/126, 4692/6949 is

LCM of Numerators i.e. for 306,4692 is 14076

GCF of denominators i.e. for 126,6949 is 1.

Thus, LCM of Fractions is 14076.Finally, LCM of Fractions for 306/126, 4692/6949 is 14076.