Least Common Multiple of 77/868, 55/317, 700/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/868, 55/317, 700/909 quickly i.e. 7700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/868, 55/317, 700/909 is 7700.

LCM(77/868, 55/317, 700/909) = 7700

LCM of 77/868, 55/317, 700/909

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 77/868,55/317,700/909

Given numbers are 77/868,55/317,700/909

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 77,55,700

Least Common Multiple of Numerators i.e. LCM of 77,55,700 is 7700.

GCF of Denominators means GCF of 868,317,909 as per the given fractions.

GCF of 868,317,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,55,700

LCM of Fractions 77/868,55/317,700/909 is 7700

5 77, 55, 700
7 77, 11, 140
11 11, 11, 20
1, 1, 20

∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 1 x 20 = 7700

Least Common Multiple of 77,55,700 with GCF Formula

Least Common Multiple of 77,55,700 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 77,55,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,55,700) = 1

common factors(in case of two or more numbers have common factors) = 385

GCF(77,55,700) x common factors =1 x 385 = 385

LCM(77,55,700) = ( 77 × 55 × 700 ) / 385

LCM(77,55,700) = 2964500 / 385

LCM(77,55,700) = 7700


Lets's calculate GCF of 868,317,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7700/1

Therefore the LCM of Fractions 77/868,55/317,700/909 is 7700

Greatest Common Factor of 868,317,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,317,909 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 868,317,909 . The biggest common factor number is the GCF number.
So the greatest common factor 868,317,909 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 77/868, 55/317, 700/909

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 77/868, 55/317, 700/909?

Answer: LCM of Numerators as per given numbers 77/868, 55/317, 700/909 is

LCM of Numerators i.e. for 77,55,700 is 7700

GCF of denominators i.e. for 868,317,909 is 1.

Thus, LCM of Fractions is 7700.Finally, LCM of Fractions for 77/868, 55/317, 700/909 is 7700.