Least Common Multiple of 86/691, 980/208, 624/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/691, 980/208, 624/200 quickly i.e. 6573840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/691, 980/208, 624/200 is 6573840.

LCM(86/691, 980/208, 624/200) = 6573840

LCM of 86/691, 980/208, 624/200

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 86/691,980/208,624/200

Given numbers are 86/691,980/208,624/200

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 86,980,624

Least Common Multiple of Numerators i.e. LCM of 86,980,624 is 6573840.

GCF of Denominators means GCF of 691,208,200 as per the given fractions.

GCF of 691,208,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,980,624

LCM of Fractions 86/691,980/208,624/200 is 6573840

2 86, 980, 624
2 43, 490, 312
43, 245, 156

∴ So the LCM of the given numbers is 2 x 2 x 43 x 245 x 156 = 6573840

Least Common Multiple of 86,980,624 with GCF Formula

Least Common Multiple of 86,980,624 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 86,980,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,980,624) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,980,624) x common factors =2 x 4 = 8

LCM(86,980,624) = ( 86 × 980 × 624 ) / 8

LCM(86,980,624) = 52590720 / 8

LCM(86,980,624) = 6573840


Lets's calculate GCF of 691,208,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6573840/1

Therefore the LCM of Fractions 86/691,980/208,624/200 is 6573840

Greatest Common Factor of 691,208,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,208,200 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 691,208,200 . The biggest common factor number is the GCF number.
So the greatest common factor 691,208,200 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 86/691, 980/208, 624/200

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 86/691, 980/208, 624/200?

Answer: LCM of Numerators as per given numbers 86/691, 980/208, 624/200 is

LCM of Numerators i.e. for 86,980,624 is 6573840

GCF of denominators i.e. for 691,208,200 is 1.

Thus, LCM of Fractions is 6573840.Finally, LCM of Fractions for 86/691, 980/208, 624/200 is 6573840.