Least Common Multiple of 7046/714, 6380/5012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7046/714, 6380/5012 quickly i.e. 22476740/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7046/714, 6380/5012 is 22476740/14.

LCM(7046/714, 6380/5012) = 22476740/14

LCM of 7046/714, 6380/5012

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 7046/714,6380/5012

Given numbers are 7046/714,6380/5012

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 7046,6380

Least Common Multiple of Numerators i.e. LCM of 7046,6380 is 22476740.

GCF of Denominators means GCF of 714,5012 as per the given fractions.

GCF of 714,5012 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7046,6380

LCM of Fractions 7046/714,6380/5012 is 22476740/14

2 7046, 6380
3523, 3190

∴ So the LCM of the given numbers is 2 x 3523 x 3190 = 22476740

Least Common Multiple of 7046,6380 with GCF Formula

Least Common Multiple of 7046,6380 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 7046,6380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7046,6380) = 2

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

GCF(7046,6380) x common factors =2 x 1 = 2

LCM(7046,6380) = ( 7046 × 6380 ) / 2

LCM(7046,6380) = 44953480 / 2

LCM(7046,6380) = 22476740


Lets's calculate GCF of 714,5012

2 714, 5012
7 357, 2506
51, 358

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22476740/14

Therefore the LCM of Fractions 7046/714,6380/5012 is 22476740/14

Greatest Common Factor of 714,5012 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,5012 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 5012

List of positive integer factors of 5012 that divides 5012 without a remainder.

1,2,4,7,14,28,179,358,716,1253,2506,5012

Greatest Common Factor

We found the factors 714,5012 . The biggest common factor number is the GCF number.
So the greatest common factor 714,5012 is 14.


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 7046/714, 6380/5012

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 7046/714, 6380/5012?

Answer: LCM of Numerators as per given numbers 7046/714, 6380/5012 is

LCM of Numerators i.e. for 7046,6380 is 22476740

GCF of denominators i.e. for 714,5012 is 14.

Thus, LCM of Fractions is 22476740/14.Finally, LCM of Fractions for 7046/714, 6380/5012 is 22476740/14.