Least Common Multiple of 6700/71, 7758/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6700/71, 7758/897 quickly i.e. 25989300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6700/71, 7758/897 is 25989300.

LCM(6700/71, 7758/897) = 25989300

LCM of 6700/71, 7758/897

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 6700/71,7758/897

Given numbers are 6700/71,7758/897

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 6700,7758

Least Common Multiple of Numerators i.e. LCM of 6700,7758 is 25989300.

GCF of Denominators means GCF of 71,897 as per the given fractions.

GCF of 71,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6700,7758

LCM of Fractions 6700/71,7758/897 is 25989300

2 6700, 7758
3350, 3879

∴ So the LCM of the given numbers is 2 x 3350 x 3879 = 25989300

Least Common Multiple of 6700,7758 with GCF Formula

Least Common Multiple of 6700,7758 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 6700,7758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6700,7758) = 2

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

GCF(6700,7758) x common factors =2 x 1 = 2

LCM(6700,7758) = ( 6700 × 7758 ) / 2

LCM(6700,7758) = 51978600 / 2

LCM(6700,7758) = 25989300


Lets's calculate GCF of 71,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25989300/1

Therefore the LCM of Fractions 6700/71,7758/897 is 25989300

Greatest Common Factor of 71,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,897 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 71,897 . The biggest common factor number is the GCF number.
So the greatest common factor 71,897 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 6700/71, 7758/897

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 6700/71, 7758/897?

Answer: LCM of Numerators as per given numbers 6700/71, 7758/897 is

LCM of Numerators i.e. for 6700,7758 is 25989300

GCF of denominators i.e. for 71,897 is 1.

Thus, LCM of Fractions is 25989300.Finally, LCM of Fractions for 6700/71, 7758/897 is 25989300.