Least Common Multiple of 77/435, 186/545, 212/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/435, 186/545, 212/349 quickly i.e. 1518132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/435, 186/545, 212/349 is 1518132.

LCM(77/435, 186/545, 212/349) = 1518132

LCM of 77/435, 186/545, 212/349

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 77/435,186/545,212/349

Given numbers are 77/435,186/545,212/349

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 77,186,212

Least Common Multiple of Numerators i.e. LCM of 77,186,212 is 1518132.

GCF of Denominators means GCF of 435,545,349 as per the given fractions.

GCF of 435,545,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,186,212

LCM of Fractions 77/435,186/545,212/349 is 1518132

2 77, 186, 212
77, 93, 106

∴ So the LCM of the given numbers is 2 x 77 x 93 x 106 = 1518132

Least Common Multiple of 77,186,212 with GCF Formula

Least Common Multiple of 77,186,212 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 77,186,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,186,212) = 1

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

GCF(77,186,212) x common factors =1 x 2 = 2

LCM(77,186,212) = ( 77 × 186 × 212 ) / 2

LCM(77,186,212) = 3036264 / 2

LCM(77,186,212) = 1518132


Lets's calculate GCF of 435,545,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1518132/1

Therefore the LCM of Fractions 77/435,186/545,212/349 is 1518132

Greatest Common Factor of 435,545,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,545,349 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 435,545,349 . The biggest common factor number is the GCF number.
So the greatest common factor 435,545,349 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 77/435, 186/545, 212/349

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 77/435, 186/545, 212/349?

Answer: LCM of Numerators as per given numbers 77/435, 186/545, 212/349 is

LCM of Numerators i.e. for 77,186,212 is 1518132

GCF of denominators i.e. for 435,545,349 is 1.

Thus, LCM of Fractions is 1518132.Finally, LCM of Fractions for 77/435, 186/545, 212/349 is 1518132.