Least Common Multiple of 688/72, 536/51, 670/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/72, 536/51, 670/682 quickly i.e. 230480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/72, 536/51, 670/682 is 230480.

LCM(688/72, 536/51, 670/682) = 230480

LCM of 688/72, 536/51, 670/682

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 688/72,536/51,670/682

Given numbers are 688/72,536/51,670/682

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 688,536,670

Least Common Multiple of Numerators i.e. LCM of 688,536,670 is 230480.

GCF of Denominators means GCF of 72,51,682 as per the given fractions.

GCF of 72,51,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,536,670

LCM of Fractions 688/72,536/51,670/682 is 230480

2 688, 536, 670
2 344, 268, 335
2 172, 134, 335
67 86, 67, 335
86, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 86 x 1 x 5 = 230480

Least Common Multiple of 688,536,670 with GCF Formula

Least Common Multiple of 688,536,670 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 688,536,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,536,670) = 2

common factors(in case of two or more numbers have common factors) = 536

GCF(688,536,670) x common factors =2 x 536 = 1072

LCM(688,536,670) = ( 688 × 536 × 670 ) / 1072

LCM(688,536,670) = 247074560 / 1072

LCM(688,536,670) = 230480


Lets's calculate GCF of 72,51,682

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230480/1

Therefore the LCM of Fractions 688/72,536/51,670/682 is 230480

Greatest Common Factor of 72,51,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,51,682 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 72,51,682 . The biggest common factor number is the GCF number.
So the greatest common factor 72,51,682 is 1.


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 688/72, 536/51, 670/682

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 688/72, 536/51, 670/682?

Answer: LCM of Numerators as per given numbers 688/72, 536/51, 670/682 is

LCM of Numerators i.e. for 688,536,670 is 230480

GCF of denominators i.e. for 72,51,682 is 1.

Thus, LCM of Fractions is 230480.Finally, LCM of Fractions for 688/72, 536/51, 670/682 is 230480.