Least Common Multiple of 6958/504, 1064/2078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6958/504, 1064/2078 quickly i.e. 264404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6958/504, 1064/2078 is 264404.

LCM(6958/504, 1064/2078) = 264404

LCM of 6958/504, 1064/2078

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 6958/504,1064/2078

Given numbers are 6958/504,1064/2078

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 6958,1064

Least Common Multiple of Numerators i.e. LCM of 6958,1064 is 528808.

GCF of Denominators means GCF of 504,2078 as per the given fractions.

GCF of 504,2078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6958,1064

LCM of Fractions 6958/504,1064/2078 is 264404

2 6958, 1064
7 3479, 532
497, 76

∴ So the LCM of the given numbers is 2 x 7 x 497 x 76 = 528808

Least Common Multiple of 6958,1064 with GCF Formula

Least Common Multiple of 6958,1064 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 6958,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6958,1064) = 14

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

GCF(6958,1064) x common factors =14 x 1 = 14

LCM(6958,1064) = ( 6958 × 1064 ) / 14

LCM(6958,1064) = 7403312 / 14

LCM(6958,1064) = 528808


Lets's calculate GCF of 504,2078

2 504, 2078
252, 1039

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528808/2

Therefore the LCM of Fractions 6958/504,1064/2078 is 264404

Greatest Common Factor of 504,2078 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,2078 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors 504,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 504,2078 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 6958/504, 1064/2078

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 6958/504, 1064/2078?

Answer: LCM of Numerators as per given numbers 6958/504, 1064/2078 is

LCM of Numerators i.e. for 6958,1064 is 528808

GCF of denominators i.e. for 504,2078 is 2.

Thus, LCM of Fractions is 264404.Finally, LCM of Fractions for 6958/504, 1064/2078 is 264404.