Least Common Multiple of 6701/56, 7638/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6701/56, 7638/385 quickly i.e. 51182238/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6701/56, 7638/385 is 51182238/7.

LCM(6701/56, 7638/385) = 51182238/7

LCM of 6701/56, 7638/385

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 6701/56,7638/385

Given numbers are 6701/56,7638/385

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 6701,7638

Least Common Multiple of Numerators i.e. LCM of 6701,7638 is 51182238.

GCF of Denominators means GCF of 56,385 as per the given fractions.

GCF of 56,385 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6701,7638

LCM of Fractions 6701/56,7638/385 is 51182238/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 51182238

Least Common Multiple of 6701,7638 with GCF Formula

Least Common Multiple of 6701,7638 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 6701,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6701,7638) = 1

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

GCF(6701,7638) x common factors =1 x 1 = 1

LCM(6701,7638) = ( 6701 × 7638 ) / 1

LCM(6701,7638) = 51182238 / 1

LCM(6701,7638) = 51182238


Lets's calculate GCF of 56,385

7 56, 385
8, 55

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51182238/7

Therefore the LCM of Fractions 6701/56,7638/385 is 51182238/7

Greatest Common Factor of 56,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,385 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 56,385 . The biggest common factor number is the GCF number.
So the greatest common factor 56,385 is 7.


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 6701/56, 7638/385

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 6701/56, 7638/385?

Answer: LCM of Numerators as per given numbers 6701/56, 7638/385 is

LCM of Numerators i.e. for 6701,7638 is 51182238

GCF of denominators i.e. for 56,385 is 7.

Thus, LCM of Fractions is 51182238/7.Finally, LCM of Fractions for 6701/56, 7638/385 is 51182238/7.