Least Common Multiple of 737/705, 804/634, 223/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/705, 804/634, 223/656 quickly i.e. 1972212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/705, 804/634, 223/656 is 1972212.

LCM(737/705, 804/634, 223/656) = 1972212

LCM of 737/705, 804/634, 223/656

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 737/705,804/634,223/656

Given numbers are 737/705,804/634,223/656

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 737,804,223

Least Common Multiple of Numerators i.e. LCM of 737,804,223 is 1972212.

GCF of Denominators means GCF of 705,634,656 as per the given fractions.

GCF of 705,634,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,804,223

LCM of Fractions 737/705,804/634,223/656 is 1972212

67 737, 804, 223
11, 12, 223

∴ So the LCM of the given numbers is 67 x 11 x 12 x 223 = 1972212

Least Common Multiple of 737,804,223 with GCF Formula

Least Common Multiple of 737,804,223 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 737,804,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,804,223) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(737,804,223) x common factors =1 x 67 = 67

LCM(737,804,223) = ( 737 × 804 × 223 ) / 67

LCM(737,804,223) = 132138204 / 67

LCM(737,804,223) = 1972212


Lets's calculate GCF of 705,634,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1972212/1

Therefore the LCM of Fractions 737/705,804/634,223/656 is 1972212

Greatest Common Factor of 705,634,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,634,656 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 705,634,656 . The biggest common factor number is the GCF number.
So the greatest common factor 705,634,656 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 737/705, 804/634, 223/656

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 737/705, 804/634, 223/656?

Answer: LCM of Numerators as per given numbers 737/705, 804/634, 223/656 is

LCM of Numerators i.e. for 737,804,223 is 1972212

GCF of denominators i.e. for 705,634,656 is 1.

Thus, LCM of Fractions is 1972212.Finally, LCM of Fractions for 737/705, 804/634, 223/656 is 1972212.