Least Common Multiple of 55/689, 40/602, 672/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/689, 40/602, 672/905 quickly i.e. 36960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/689, 40/602, 672/905 is 36960.

LCM(55/689, 40/602, 672/905) = 36960

LCM of 55/689, 40/602, 672/905

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 55/689,40/602,672/905

Given numbers are 55/689,40/602,672/905

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 55,40,672

Least Common Multiple of Numerators i.e. LCM of 55,40,672 is 36960.

GCF of Denominators means GCF of 689,602,905 as per the given fractions.

GCF of 689,602,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,40,672

LCM of Fractions 55/689,40/602,672/905 is 36960

2 55, 40, 672
2 55, 20, 336
2 55, 10, 168
5 55, 5, 84
11, 1, 84

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 84 = 36960

Least Common Multiple of 55,40,672 with GCF Formula

Least Common Multiple of 55,40,672 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 55,40,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,40,672) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(55,40,672) x common factors =1 x 40 = 40

LCM(55,40,672) = ( 55 × 40 × 672 ) / 40

LCM(55,40,672) = 1478400 / 40

LCM(55,40,672) = 36960


Lets's calculate GCF of 689,602,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36960/1

Therefore the LCM of Fractions 55/689,40/602,672/905 is 36960

Greatest Common Factor of 689,602,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,602,905 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 689,602,905 . The biggest common factor number is the GCF number.
So the greatest common factor 689,602,905 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 55/689, 40/602, 672/905

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 55/689, 40/602, 672/905?

Answer: LCM of Numerators as per given numbers 55/689, 40/602, 672/905 is

LCM of Numerators i.e. for 55,40,672 is 36960

GCF of denominators i.e. for 689,602,905 is 1.

Thus, LCM of Fractions is 36960.Finally, LCM of Fractions for 55/689, 40/602, 672/905 is 36960.