Least Common Multiple of 42/688, 35/958, 532/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/688, 35/958, 532/680 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/688, 35/958, 532/680 is 3990.

LCM(42/688, 35/958, 532/680) = 3990

LCM of 42/688, 35/958, 532/680

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 42/688,35/958,532/680

Given numbers are 42/688,35/958,532/680

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 42,35,532

Least Common Multiple of Numerators i.e. LCM of 42,35,532 is 7980.

GCF of Denominators means GCF of 688,958,680 as per the given fractions.

GCF of 688,958,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,35,532

LCM of Fractions 42/688,35/958,532/680 is 3990

2 42, 35, 532
7 21, 35, 266
3, 5, 38

∴ So the LCM of the given numbers is 2 x 7 x 3 x 5 x 38 = 7980

Least Common Multiple of 42,35,532 with GCF Formula

Least Common Multiple of 42,35,532 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 42,35,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,35,532) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(42,35,532) x common factors =7 x 14 = 98

LCM(42,35,532) = ( 42 × 35 × 532 ) / 98

LCM(42,35,532) = 782040 / 98

LCM(42,35,532) = 7980


Lets's calculate GCF of 688,958,680

2 688, 958, 680
344, 479, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/2

Therefore the LCM of Fractions 42/688,35/958,532/680 is 3990

Greatest Common Factor of 688,958,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,958,680 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 688,958,680 . The biggest common factor number is the GCF number.
So the greatest common factor 688,958,680 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 42/688, 35/958, 532/680

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 42/688, 35/958, 532/680?

Answer: LCM of Numerators as per given numbers 42/688, 35/958, 532/680 is

LCM of Numerators i.e. for 42,35,532 is 7980

GCF of denominators i.e. for 688,958,680 is 2.

Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 42/688, 35/958, 532/680 is 3990.