Least Common Multiple of 17/736, 99/878, 553/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/736, 99/878, 553/169 quickly i.e. 930699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/736, 99/878, 553/169 is 930699.

LCM(17/736, 99/878, 553/169) = 930699

LCM of 17/736, 99/878, 553/169

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 17/736,99/878,553/169

Given numbers are 17/736,99/878,553/169

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 17,99,553

Least Common Multiple of Numerators i.e. LCM of 17,99,553 is 930699.

GCF of Denominators means GCF of 736,878,169 as per the given fractions.

GCF of 736,878,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,99,553

LCM of Fractions 17/736,99/878,553/169 is 930699

Given numbers has no common factors except 1. So, there LCM is their product i.e 930699

Least Common Multiple of 17,99,553 with GCF Formula

Least Common Multiple of 17,99,553 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 17,99,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,99,553) = 1

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

GCF(17,99,553) x common factors =1 x 1 = 1

LCM(17,99,553) = ( 17 × 99 × 553 ) / 1

LCM(17,99,553) = 930699 / 1

LCM(17,99,553) = 930699


Lets's calculate GCF of 736,878,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930699/1

Therefore the LCM of Fractions 17/736,99/878,553/169 is 930699

Greatest Common Factor of 736,878,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,878,169 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 736,878,169 . The biggest common factor number is the GCF number.
So the greatest common factor 736,878,169 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 17/736, 99/878, 553/169

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 17/736, 99/878, 553/169?

Answer: LCM of Numerators as per given numbers 17/736, 99/878, 553/169 is

LCM of Numerators i.e. for 17,99,553 is 930699

GCF of denominators i.e. for 736,878,169 is 1.

Thus, LCM of Fractions is 930699.Finally, LCM of Fractions for 17/736, 99/878, 553/169 is 930699.