Least Common Multiple of 17/626, 55/700, 414/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/626, 55/700, 414/775 quickly i.e. 387090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/626, 55/700, 414/775 is 387090.

LCM(17/626, 55/700, 414/775) = 387090

LCM of 17/626, 55/700, 414/775

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 17/626,55/700,414/775

Given numbers are 17/626,55/700,414/775

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 17,55,414

Least Common Multiple of Numerators i.e. LCM of 17,55,414 is 387090.

GCF of Denominators means GCF of 626,700,775 as per the given fractions.

GCF of 626,700,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,55,414

LCM of Fractions 17/626,55/700,414/775 is 387090

Given numbers has no common factors except 1. So, there LCM is their product i.e 387090

Least Common Multiple of 17,55,414 with GCF Formula

Least Common Multiple of 17,55,414 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 17,55,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,55,414) = 1

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

GCF(17,55,414) x common factors =1 x 1 = 1

LCM(17,55,414) = ( 17 × 55 × 414 ) / 1

LCM(17,55,414) = 387090 / 1

LCM(17,55,414) = 387090


Lets's calculate GCF of 626,700,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387090/1

Therefore the LCM of Fractions 17/626,55/700,414/775 is 387090

Greatest Common Factor of 626,700,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,700,775 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 626,700,775 . The biggest common factor number is the GCF number.
So the greatest common factor 626,700,775 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 17/626, 55/700, 414/775

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 17/626, 55/700, 414/775?

Answer: LCM of Numerators as per given numbers 17/626, 55/700, 414/775 is

LCM of Numerators i.e. for 17,55,414 is 387090

GCF of denominators i.e. for 626,700,775 is 1.

Thus, LCM of Fractions is 387090.Finally, LCM of Fractions for 17/626, 55/700, 414/775 is 387090.