Least Common Multiple of 4702/834, 3492/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4702/834, 3492/407 quickly i.e. 8209692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4702/834, 3492/407 is 8209692.

LCM(4702/834, 3492/407) = 8209692

LCM of 4702/834, 3492/407

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 4702/834,3492/407

Given numbers are 4702/834,3492/407

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 4702,3492

Least Common Multiple of Numerators i.e. LCM of 4702,3492 is 8209692.

GCF of Denominators means GCF of 834,407 as per the given fractions.

GCF of 834,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4702,3492

LCM of Fractions 4702/834,3492/407 is 8209692

2 4702, 3492
2351, 1746

∴ So the LCM of the given numbers is 2 x 2351 x 1746 = 8209692

Least Common Multiple of 4702,3492 with GCF Formula

Least Common Multiple of 4702,3492 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 4702,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4702,3492) = 2

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

GCF(4702,3492) x common factors =2 x 1 = 2

LCM(4702,3492) = ( 4702 × 3492 ) / 2

LCM(4702,3492) = 16419384 / 2

LCM(4702,3492) = 8209692


Lets's calculate GCF of 834,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8209692/1

Therefore the LCM of Fractions 4702/834,3492/407 is 8209692

Greatest Common Factor of 834,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,407 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 834,407 . The biggest common factor number is the GCF number.
So the greatest common factor 834,407 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 4702/834, 3492/407

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 4702/834, 3492/407?

Answer: LCM of Numerators as per given numbers 4702/834, 3492/407 is

LCM of Numerators i.e. for 4702,3492 is 8209692

GCF of denominators i.e. for 834,407 is 1.

Thus, LCM of Fractions is 8209692.Finally, LCM of Fractions for 4702/834, 3492/407 is 8209692.