Least Common Multiple of 695/57, 962/16, 544/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/57, 962/16, 544/401 quickly i.e. 181856480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/57, 962/16, 544/401 is 181856480.

LCM(695/57, 962/16, 544/401) = 181856480

LCM of 695/57, 962/16, 544/401

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 695/57,962/16,544/401

Given numbers are 695/57,962/16,544/401

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 695,962,544

Least Common Multiple of Numerators i.e. LCM of 695,962,544 is 181856480.

GCF of Denominators means GCF of 57,16,401 as per the given fractions.

GCF of 57,16,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,962,544

LCM of Fractions 695/57,962/16,544/401 is 181856480

2 695, 962, 544
695, 481, 272

∴ So the LCM of the given numbers is 2 x 695 x 481 x 272 = 181856480

Least Common Multiple of 695,962,544 with GCF Formula

Least Common Multiple of 695,962,544 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 695,962,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,962,544) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(695,962,544) x common factors =1 x 2 = 2

LCM(695,962,544) = ( 695 × 962 × 544 ) / 2

LCM(695,962,544) = 363712960 / 2

LCM(695,962,544) = 181856480


Lets's calculate GCF of 57,16,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181856480/1

Therefore the LCM of Fractions 695/57,962/16,544/401 is 181856480

Greatest Common Factor of 57,16,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,16,401 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 57,16,401 . The biggest common factor number is the GCF number.
So the greatest common factor 57,16,401 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 695/57, 962/16, 544/401

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 695/57, 962/16, 544/401?

Answer: LCM of Numerators as per given numbers 695/57, 962/16, 544/401 is

LCM of Numerators i.e. for 695,962,544 is 181856480

GCF of denominators i.e. for 57,16,401 is 1.

Thus, LCM of Fractions is 181856480.Finally, LCM of Fractions for 695/57, 962/16, 544/401 is 181856480.