Least Common Multiple of 692/70, 688/6684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/70, 688/6684 quickly i.e. 59512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/70, 688/6684 is 59512.

LCM(692/70, 688/6684) = 59512

LCM of 692/70, 688/6684

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 692/70,688/6684

Given numbers are 692/70,688/6684

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 692,688

Least Common Multiple of Numerators i.e. LCM of 692,688 is 119024.

GCF of Denominators means GCF of 70,6684 as per the given fractions.

GCF of 70,6684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,688

LCM of Fractions 692/70,688/6684 is 59512

2 692, 688
2 346, 344
173, 172

∴ So the LCM of the given numbers is 2 x 2 x 173 x 172 = 119024

Least Common Multiple of 692,688 with GCF Formula

Least Common Multiple of 692,688 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 692,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,688) = 4

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

GCF(692,688) x common factors =4 x 1 = 4

LCM(692,688) = ( 692 × 688 ) / 4

LCM(692,688) = 476096 / 4

LCM(692,688) = 119024


Lets's calculate GCF of 70,6684

2 70, 6684
35, 3342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119024/2

Therefore the LCM of Fractions 692/70,688/6684 is 59512

Greatest Common Factor of 70,6684 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,6684 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors 70,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6684 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 692/70, 688/6684

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 692/70, 688/6684?

Answer: LCM of Numerators as per given numbers 692/70, 688/6684 is

LCM of Numerators i.e. for 692,688 is 119024

GCF of denominators i.e. for 70,6684 is 2.

Thus, LCM of Fractions is 59512.Finally, LCM of Fractions for 692/70, 688/6684 is 59512.