Least Common Multiple of 57/143, 77/696, 434/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/143, 77/696, 434/485 quickly i.e. 272118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/143, 77/696, 434/485 is 272118.

LCM(57/143, 77/696, 434/485) = 272118

LCM of 57/143, 77/696, 434/485

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 57/143,77/696,434/485

Given numbers are 57/143,77/696,434/485

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 57,77,434

Least Common Multiple of Numerators i.e. LCM of 57,77,434 is 272118.

GCF of Denominators means GCF of 143,696,485 as per the given fractions.

GCF of 143,696,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,77,434

LCM of Fractions 57/143,77/696,434/485 is 272118

7 57, 77, 434
57, 11, 62

∴ So the LCM of the given numbers is 7 x 57 x 11 x 62 = 272118

Least Common Multiple of 57,77,434 with GCF Formula

Least Common Multiple of 57,77,434 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 57,77,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,77,434) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(57,77,434) x common factors =1 x 7 = 7

LCM(57,77,434) = ( 57 × 77 × 434 ) / 7

LCM(57,77,434) = 1904826 / 7

LCM(57,77,434) = 272118


Lets's calculate GCF of 143,696,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272118/1

Therefore the LCM of Fractions 57/143,77/696,434/485 is 272118

Greatest Common Factor of 143,696,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,696,485 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 143,696,485 . The biggest common factor number is the GCF number.
So the greatest common factor 143,696,485 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 57/143, 77/696, 434/485

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 57/143, 77/696, 434/485?

Answer: LCM of Numerators as per given numbers 57/143, 77/696, 434/485 is

LCM of Numerators i.e. for 57,77,434 is 272118

GCF of denominators i.e. for 143,696,485 is 1.

Thus, LCM of Fractions is 272118.Finally, LCM of Fractions for 57/143, 77/696, 434/485 is 272118.