Least Common Multiple of 676/692, 7875/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/692, 7875/338 quickly i.e. 2661750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/692, 7875/338 is 2661750.

LCM(676/692, 7875/338) = 2661750

LCM of 676/692, 7875/338

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 676/692,7875/338

Given numbers are 676/692,7875/338

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 676,7875

Least Common Multiple of Numerators i.e. LCM of 676,7875 is 5323500.

GCF of Denominators means GCF of 692,338 as per the given fractions.

GCF of 692,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,7875

LCM of Fractions 676/692,7875/338 is 2661750

Given numbers has no common factors except 1. So, there LCM is their product i.e 5323500

Least Common Multiple of 676,7875 with GCF Formula

Least Common Multiple of 676,7875 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 676,7875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,7875) = 1

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

GCF(676,7875) x common factors =1 x 1 = 1

LCM(676,7875) = ( 676 × 7875 ) / 1

LCM(676,7875) = 5323500 / 1

LCM(676,7875) = 5323500


Lets's calculate GCF of 692,338

2 692, 338
346, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5323500/2

Therefore the LCM of Fractions 676/692,7875/338 is 2661750

Greatest Common Factor of 692,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,338 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 692,338 . The biggest common factor number is the GCF number.
So the greatest common factor 692,338 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 676/692, 7875/338

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 676/692, 7875/338?

Answer: LCM of Numerators as per given numbers 676/692, 7875/338 is

LCM of Numerators i.e. for 676,7875 is 5323500

GCF of denominators i.e. for 692,338 is 2.

Thus, LCM of Fractions is 2661750.Finally, LCM of Fractions for 676/692, 7875/338 is 2661750.