Least Common Multiple of 77/722, 8842/4614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/722, 8842/4614 quickly i.e. 340417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/722, 8842/4614 is 340417.

LCM(77/722, 8842/4614) = 340417

LCM of 77/722, 8842/4614

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 77/722,8842/4614

Given numbers are 77/722,8842/4614

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 77,8842

Least Common Multiple of Numerators i.e. LCM of 77,8842 is 680834.

GCF of Denominators means GCF of 722,4614 as per the given fractions.

GCF of 722,4614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,8842

LCM of Fractions 77/722,8842/4614 is 340417

Given numbers has no common factors except 1. So, there LCM is their product i.e 680834

Least Common Multiple of 77,8842 with GCF Formula

Least Common Multiple of 77,8842 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 77,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,8842) = 1

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

GCF(77,8842) x common factors =1 x 1 = 1

LCM(77,8842) = ( 77 × 8842 ) / 1

LCM(77,8842) = 680834 / 1

LCM(77,8842) = 680834


Lets's calculate GCF of 722,4614

2 722, 4614
361, 2307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680834/2

Therefore the LCM of Fractions 77/722,8842/4614 is 340417

Greatest Common Factor of 722,4614 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,4614 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1,2,3,6,769,1538,2307,4614

Greatest Common Factor

We found the factors 722,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 722,4614 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 77/722, 8842/4614

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 77/722, 8842/4614?

Answer: LCM of Numerators as per given numbers 77/722, 8842/4614 is

LCM of Numerators i.e. for 77,8842 is 680834

GCF of denominators i.e. for 722,4614 is 2.

Thus, LCM of Fractions is 340417.Finally, LCM of Fractions for 77/722, 8842/4614 is 340417.