Least Common Multiple of 5764/343, 4978/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5764/343, 4978/812 quickly i.e. 109516/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5764/343, 4978/812 is 109516/7.

LCM(5764/343, 4978/812) = 109516/7

LCM of 5764/343, 4978/812

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 5764/343,4978/812

Given numbers are 5764/343,4978/812

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 5764,4978

Least Common Multiple of Numerators i.e. LCM of 5764,4978 is 109516.

GCF of Denominators means GCF of 343,812 as per the given fractions.

GCF of 343,812 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5764,4978

LCM of Fractions 5764/343,4978/812 is 109516/7

2 5764, 4978
131 2882, 2489
22, 19

∴ So the LCM of the given numbers is 2 x 131 x 22 x 19 = 109516

Least Common Multiple of 5764,4978 with GCF Formula

Least Common Multiple of 5764,4978 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 5764,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5764,4978) = 262

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

GCF(5764,4978) x common factors =262 x 1 = 262

LCM(5764,4978) = ( 5764 × 4978 ) / 262

LCM(5764,4978) = 28693192 / 262

LCM(5764,4978) = 109516


Lets's calculate GCF of 343,812

7 343, 812
49, 116

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109516/7

Therefore the LCM of Fractions 5764/343,4978/812 is 109516/7

Greatest Common Factor of 343,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,812 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 343,812 . The biggest common factor number is the GCF number.
So the greatest common factor 343,812 is 7.


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 5764/343, 4978/812

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 5764/343, 4978/812?

Answer: LCM of Numerators as per given numbers 5764/343, 4978/812 is

LCM of Numerators i.e. for 5764,4978 is 109516

GCF of denominators i.e. for 343,812 is 7.

Thus, LCM of Fractions is 109516/7.Finally, LCM of Fractions for 5764/343, 4978/812 is 109516/7.