Least Common Multiple of 74/714, 5015/3558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/714, 5015/3558 quickly i.e. 371110/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/714, 5015/3558 is 371110/6.

LCM(74/714, 5015/3558) = 371110/6

LCM of 74/714, 5015/3558

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 74/714,5015/3558

Given numbers are 74/714,5015/3558

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 74,5015

Least Common Multiple of Numerators i.e. LCM of 74,5015 is 371110.

GCF of Denominators means GCF of 714,3558 as per the given fractions.

GCF of 714,3558 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,5015

LCM of Fractions 74/714,5015/3558 is 371110/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 371110

Least Common Multiple of 74,5015 with GCF Formula

Least Common Multiple of 74,5015 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 74,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5015) = 1

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

GCF(74,5015) x common factors =1 x 1 = 1

LCM(74,5015) = ( 74 × 5015 ) / 1

LCM(74,5015) = 371110 / 1

LCM(74,5015) = 371110


Lets's calculate GCF of 714,3558

2 714, 3558
3 357, 1779
119, 593

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371110/6

Therefore the LCM of Fractions 74/714,5015/3558 is 371110/6

Greatest Common Factor of 714,3558 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,3558 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 3558

List of positive integer factors of 3558 that divides 3558 without a remainder.

1,2,3,6,593,1186,1779,3558

Greatest Common Factor

We found the factors 714,3558 . The biggest common factor number is the GCF number.
So the greatest common factor 714,3558 is 6.


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 74/714, 5015/3558

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 74/714, 5015/3558?

Answer: LCM of Numerators as per given numbers 74/714, 5015/3558 is

LCM of Numerators i.e. for 74,5015 is 371110

GCF of denominators i.e. for 714,3558 is 6.

Thus, LCM of Fractions is 371110/6.Finally, LCM of Fractions for 74/714, 5015/3558 is 371110/6.