Least Common Multiple of 614/77, 5868/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/77, 5868/176 quickly i.e. 1801476/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/77, 5868/176 is 1801476/11.

LCM(614/77, 5868/176) = 1801476/11

LCM of 614/77, 5868/176

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 614/77,5868/176

Given numbers are 614/77,5868/176

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 614,5868

Least Common Multiple of Numerators i.e. LCM of 614,5868 is 1801476.

GCF of Denominators means GCF of 77,176 as per the given fractions.

GCF of 77,176 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,5868

LCM of Fractions 614/77,5868/176 is 1801476/11

2 614, 5868
307, 2934

∴ So the LCM of the given numbers is 2 x 307 x 2934 = 1801476

Least Common Multiple of 614,5868 with GCF Formula

Least Common Multiple of 614,5868 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 614,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,5868) = 2

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

GCF(614,5868) x common factors =2 x 1 = 2

LCM(614,5868) = ( 614 × 5868 ) / 2

LCM(614,5868) = 3602952 / 2

LCM(614,5868) = 1801476


Lets's calculate GCF of 77,176

11 77, 176
7, 16

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801476/11

Therefore the LCM of Fractions 614/77,5868/176 is 1801476/11

Greatest Common Factor of 77,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,176 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 77,176 . The biggest common factor number is the GCF number.
So the greatest common factor 77,176 is 11.


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 614/77, 5868/176

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 614/77, 5868/176?

Answer: LCM of Numerators as per given numbers 614/77, 5868/176 is

LCM of Numerators i.e. for 614,5868 is 1801476

GCF of denominators i.e. for 77,176 is 11.

Thus, LCM of Fractions is 1801476/11.Finally, LCM of Fractions for 614/77, 5868/176 is 1801476/11.