Least Common Multiple of 545/495, 758/462, 862/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/495, 758/462, 862/471 quickly i.e. 178050410/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/495, 758/462, 862/471 is 178050410/3.

LCM(545/495, 758/462, 862/471) = 178050410/3

LCM of 545/495, 758/462, 862/471

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 545/495,758/462,862/471

Given numbers are 545/495,758/462,862/471

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 545,758,862

Least Common Multiple of Numerators i.e. LCM of 545,758,862 is 178050410.

GCF of Denominators means GCF of 495,462,471 as per the given fractions.

GCF of 495,462,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,758,862

LCM of Fractions 545/495,758/462,862/471 is 178050410/3

2 545, 758, 862
545, 379, 431

∴ So the LCM of the given numbers is 2 x 545 x 379 x 431 = 178050410

Least Common Multiple of 545,758,862 with GCF Formula

Least Common Multiple of 545,758,862 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 545,758,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,758,862) = 1

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

GCF(545,758,862) x common factors =1 x 2 = 2

LCM(545,758,862) = ( 545 × 758 × 862 ) / 2

LCM(545,758,862) = 356100820 / 2

LCM(545,758,862) = 178050410


Lets's calculate GCF of 495,462,471

3 495, 462, 471
165, 154, 157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178050410/3

Therefore the LCM of Fractions 545/495,758/462,862/471 is 178050410/3

Greatest Common Factor of 495,462,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,462,471 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 495,462,471 . The biggest common factor number is the GCF number.
So the greatest common factor 495,462,471 is 3.


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 545/495, 758/462, 862/471

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 545/495, 758/462, 862/471?

Answer: LCM of Numerators as per given numbers 545/495, 758/462, 862/471 is

LCM of Numerators i.e. for 545,758,862 is 178050410

GCF of denominators i.e. for 495,462,471 is 3.

Thus, LCM of Fractions is 178050410/3.Finally, LCM of Fractions for 545/495, 758/462, 862/471 is 178050410/3.