Least Common Multiple of 77/64, 752/67, 209/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/64, 752/67, 209/692 quickly i.e. 1100176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/64, 752/67, 209/692 is 1100176.

LCM(77/64, 752/67, 209/692) = 1100176

LCM of 77/64, 752/67, 209/692

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 77/64,752/67,209/692

Given numbers are 77/64,752/67,209/692

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 77,752,209

Least Common Multiple of Numerators i.e. LCM of 77,752,209 is 1100176.

GCF of Denominators means GCF of 64,67,692 as per the given fractions.

GCF of 64,67,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,752,209

LCM of Fractions 77/64,752/67,209/692 is 1100176

11 77, 752, 209
7, 752, 19

∴ So the LCM of the given numbers is 11 x 7 x 752 x 19 = 1100176

Least Common Multiple of 77,752,209 with GCF Formula

Least Common Multiple of 77,752,209 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 77,752,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,752,209) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,752,209) x common factors =1 x 11 = 11

LCM(77,752,209) = ( 77 × 752 × 209 ) / 11

LCM(77,752,209) = 12101936 / 11

LCM(77,752,209) = 1100176


Lets's calculate GCF of 64,67,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1100176/1

Therefore the LCM of Fractions 77/64,752/67,209/692 is 1100176

Greatest Common Factor of 64,67,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,67,692 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 64,67,692 . The biggest common factor number is the GCF number.
So the greatest common factor 64,67,692 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 77/64, 752/67, 209/692

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 77/64, 752/67, 209/692?

Answer: LCM of Numerators as per given numbers 77/64, 752/67, 209/692 is

LCM of Numerators i.e. for 77,752,209 is 1100176

GCF of denominators i.e. for 64,67,692 is 1.

Thus, LCM of Fractions is 1100176.Finally, LCM of Fractions for 77/64, 752/67, 209/692 is 1100176.