Least Common Multiple of 6958/354, 5006/4721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6958/354, 5006/4721 quickly i.e. 17415874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6958/354, 5006/4721 is 17415874.

LCM(6958/354, 5006/4721) = 17415874

LCM of 6958/354, 5006/4721

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 6958/354,5006/4721

Given numbers are 6958/354,5006/4721

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 6958,5006

Least Common Multiple of Numerators i.e. LCM of 6958,5006 is 17415874.

GCF of Denominators means GCF of 354,4721 as per the given fractions.

GCF of 354,4721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6958,5006

LCM of Fractions 6958/354,5006/4721 is 17415874

2 6958, 5006
3479, 2503

∴ So the LCM of the given numbers is 2 x 3479 x 2503 = 17415874

Least Common Multiple of 6958,5006 with GCF Formula

Least Common Multiple of 6958,5006 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 6958,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6958,5006) = 2

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

GCF(6958,5006) x common factors =2 x 1 = 2

LCM(6958,5006) = ( 6958 × 5006 ) / 2

LCM(6958,5006) = 34831748 / 2

LCM(6958,5006) = 17415874


Lets's calculate GCF of 354,4721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17415874/1

Therefore the LCM of Fractions 6958/354,5006/4721 is 17415874

Greatest Common Factor of 354,4721 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,4721 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 4721

List of positive integer factors of 4721 that divides 4721 without a remainder.

1,4721

Greatest Common Factor

We found the factors 354,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 354,4721 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 6958/354, 5006/4721

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 6958/354, 5006/4721?

Answer: LCM of Numerators as per given numbers 6958/354, 5006/4721 is

LCM of Numerators i.e. for 6958,5006 is 17415874

GCF of denominators i.e. for 354,4721 is 1.

Thus, LCM of Fractions is 17415874.Finally, LCM of Fractions for 6958/354, 5006/4721 is 17415874.