Least Common Multiple of 772/896, 219/348, 323/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/896, 219/348, 323/946 quickly i.e. 27304482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/896, 219/348, 323/946 is 27304482.

LCM(772/896, 219/348, 323/946) = 27304482

LCM of 772/896, 219/348, 323/946

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 772/896,219/348,323/946

Given numbers are 772/896,219/348,323/946

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 772,219,323

Least Common Multiple of Numerators i.e. LCM of 772,219,323 is 54608964.

GCF of Denominators means GCF of 896,348,946 as per the given fractions.

GCF of 896,348,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,219,323

LCM of Fractions 772/896,219/348,323/946 is 27304482

Given numbers has no common factors except 1. So, there LCM is their product i.e 54608964

Least Common Multiple of 772,219,323 with GCF Formula

Least Common Multiple of 772,219,323 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 772,219,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,219,323) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(772,219,323) x common factors =1 x 1 = 1

LCM(772,219,323) = ( 772 × 219 × 323 ) / 1

LCM(772,219,323) = 54608964 / 1

LCM(772,219,323) = 54608964


Lets's calculate GCF of 896,348,946

2 896, 348, 946
448, 174, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54608964/2

Therefore the LCM of Fractions 772/896,219/348,323/946 is 27304482

Greatest Common Factor of 896,348,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,348,946 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 896,348,946 . The biggest common factor number is the GCF number.
So the greatest common factor 896,348,946 is 2.


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 772/896, 219/348, 323/946

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 772/896, 219/348, 323/946?

Answer: LCM of Numerators as per given numbers 772/896, 219/348, 323/946 is

LCM of Numerators i.e. for 772,219,323 is 54608964

GCF of denominators i.e. for 896,348,946 is 2.

Thus, LCM of Fractions is 27304482.Finally, LCM of Fractions for 772/896, 219/348, 323/946 is 27304482.