Least Common Multiple of 955/64, 736/28, 785/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 955/64, 736/28, 785/592 quickly i.e. 27588040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 955/64, 736/28, 785/592 is 27588040.

LCM(955/64, 736/28, 785/592) = 27588040

LCM of 955/64, 736/28, 785/592

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 955/64,736/28,785/592

Given numbers are 955/64,736/28,785/592

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 955,736,785

Least Common Multiple of Numerators i.e. LCM of 955,736,785 is 110352160.

GCF of Denominators means GCF of 64,28,592 as per the given fractions.

GCF of 64,28,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 955,736,785

LCM of Fractions 955/64,736/28,785/592 is 27588040

5 955, 736, 785
191, 736, 157

∴ So the LCM of the given numbers is 5 x 191 x 736 x 157 = 110352160

Least Common Multiple of 955,736,785 with GCF Formula

Least Common Multiple of 955,736,785 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 955,736,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,736,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(955,736,785) x common factors =1 x 5 = 5

LCM(955,736,785) = ( 955 × 736 × 785 ) / 5

LCM(955,736,785) = 551760800 / 5

LCM(955,736,785) = 110352160


Lets's calculate GCF of 64,28,592

2 64, 28, 592
2 32, 14, 296
16, 7, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110352160/4

Therefore the LCM of Fractions 955/64,736/28,785/592 is 27588040

Greatest Common Factor of 64,28,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,28,592 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 64,28,592 . The biggest common factor number is the GCF number.
So the greatest common factor 64,28,592 is 4.


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 955/64, 736/28, 785/592

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 955/64, 736/28, 785/592?

Answer: LCM of Numerators as per given numbers 955/64, 736/28, 785/592 is

LCM of Numerators i.e. for 955,736,785 is 110352160

GCF of denominators i.e. for 64,28,592 is 4.

Thus, LCM of Fractions is 27588040.Finally, LCM of Fractions for 955/64, 736/28, 785/592 is 27588040.