Least Common Multiple of 6955/46, 4416/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6955/46, 4416/137 quickly i.e. 30713280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6955/46, 4416/137 is 30713280.

LCM(6955/46, 4416/137) = 30713280

LCM of 6955/46, 4416/137

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 6955/46,4416/137

Given numbers are 6955/46,4416/137

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 6955,4416

Least Common Multiple of Numerators i.e. LCM of 6955,4416 is 30713280.

GCF of Denominators means GCF of 46,137 as per the given fractions.

GCF of 46,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6955,4416

LCM of Fractions 6955/46,4416/137 is 30713280

Given numbers has no common factors except 1. So, there LCM is their product i.e 30713280

Least Common Multiple of 6955,4416 with GCF Formula

Least Common Multiple of 6955,4416 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 6955,4416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6955,4416) = 1

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

GCF(6955,4416) x common factors =1 x 1 = 1

LCM(6955,4416) = ( 6955 × 4416 ) / 1

LCM(6955,4416) = 30713280 / 1

LCM(6955,4416) = 30713280


Lets's calculate GCF of 46,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30713280/1

Therefore the LCM of Fractions 6955/46,4416/137 is 30713280

Greatest Common Factor of 46,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,137 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 46,137 . The biggest common factor number is the GCF number.
So the greatest common factor 46,137 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6955/46, 4416/137

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 6955/46, 4416/137?

Answer: LCM of Numerators as per given numbers 6955/46, 4416/137 is

LCM of Numerators i.e. for 6955,4416 is 30713280

GCF of denominators i.e. for 46,137 is 1.

Thus, LCM of Fractions is 30713280.Finally, LCM of Fractions for 6955/46, 4416/137 is 30713280.