Least Common Multiple of 685/705, 208/646, 520/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/705, 208/646, 520/508 quickly i.e. 142480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/705, 208/646, 520/508 is 142480.

LCM(685/705, 208/646, 520/508) = 142480

LCM of 685/705, 208/646, 520/508

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 685/705,208/646,520/508

Given numbers are 685/705,208/646,520/508

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 685,208,520

Least Common Multiple of Numerators i.e. LCM of 685,208,520 is 142480.

GCF of Denominators means GCF of 705,646,508 as per the given fractions.

GCF of 705,646,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,208,520

LCM of Fractions 685/705,208/646,520/508 is 142480

2 685, 208, 520
2 685, 104, 260
2 685, 52, 130
5 685, 26, 65
13 137, 26, 13
137, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 137 x 2 x 1 = 142480

Least Common Multiple of 685,208,520 with GCF Formula

Least Common Multiple of 685,208,520 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 685,208,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,208,520) = 1

common factors(in case of two or more numbers have common factors) = 520

GCF(685,208,520) x common factors =1 x 520 = 520

LCM(685,208,520) = ( 685 × 208 × 520 ) / 520

LCM(685,208,520) = 74089600 / 520

LCM(685,208,520) = 142480


Lets's calculate GCF of 705,646,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142480/1

Therefore the LCM of Fractions 685/705,208/646,520/508 is 142480

Greatest Common Factor of 705,646,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,646,508 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 705,646,508 . The biggest common factor number is the GCF number.
So the greatest common factor 705,646,508 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 685/705, 208/646, 520/508

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 685/705, 208/646, 520/508?

Answer: LCM of Numerators as per given numbers 685/705, 208/646, 520/508 is

LCM of Numerators i.e. for 685,208,520 is 142480

GCF of denominators i.e. for 705,646,508 is 1.

Thus, LCM of Fractions is 142480.Finally, LCM of Fractions for 685/705, 208/646, 520/508 is 142480.