Least Common Multiple of 48/943, 6700/4898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/943, 6700/4898 quickly i.e. 80400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/943, 6700/4898 is 80400.

LCM(48/943, 6700/4898) = 80400

LCM of 48/943, 6700/4898

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 48/943,6700/4898

Given numbers are 48/943,6700/4898

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 48,6700

Least Common Multiple of Numerators i.e. LCM of 48,6700 is 80400.

GCF of Denominators means GCF of 943,4898 as per the given fractions.

GCF of 943,4898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,6700

LCM of Fractions 48/943,6700/4898 is 80400

2 48, 6700
2 24, 3350
12, 1675

∴ So the LCM of the given numbers is 2 x 2 x 12 x 1675 = 80400

Least Common Multiple of 48,6700 with GCF Formula

Least Common Multiple of 48,6700 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 48,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,6700) = 4

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

GCF(48,6700) x common factors =4 x 1 = 4

LCM(48,6700) = ( 48 × 6700 ) / 4

LCM(48,6700) = 321600 / 4

LCM(48,6700) = 80400


Lets's calculate GCF of 943,4898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80400/1

Therefore the LCM of Fractions 48/943,6700/4898 is 80400

Greatest Common Factor of 943,4898 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,4898 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 4898

List of positive integer factors of 4898 that divides 4898 without a remainder.

1,2,31,62,79,158,2449,4898

Greatest Common Factor

We found the factors 943,4898 . The biggest common factor number is the GCF number.
So the greatest common factor 943,4898 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 48/943, 6700/4898

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 48/943, 6700/4898?

Answer: LCM of Numerators as per given numbers 48/943, 6700/4898 is

LCM of Numerators i.e. for 48,6700 is 80400

GCF of denominators i.e. for 943,4898 is 1.

Thus, LCM of Fractions is 80400.Finally, LCM of Fractions for 48/943, 6700/4898 is 80400.