Least Common Multiple of 74/170, 455/103, 550/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/170, 455/103, 550/355 quickly i.e. 1851850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/170, 455/103, 550/355 is 1851850.

LCM(74/170, 455/103, 550/355) = 1851850

LCM of 74/170, 455/103, 550/355

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 74/170,455/103,550/355

Given numbers are 74/170,455/103,550/355

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 74,455,550

Least Common Multiple of Numerators i.e. LCM of 74,455,550 is 1851850.

GCF of Denominators means GCF of 170,103,355 as per the given fractions.

GCF of 170,103,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,455,550

LCM of Fractions 74/170,455/103,550/355 is 1851850

2 74, 455, 550
5 37, 455, 275
37, 91, 55

∴ So the LCM of the given numbers is 2 x 5 x 37 x 91 x 55 = 1851850

Least Common Multiple of 74,455,550 with GCF Formula

Least Common Multiple of 74,455,550 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 74,455,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,455,550) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(74,455,550) x common factors =1 x 10 = 10

LCM(74,455,550) = ( 74 × 455 × 550 ) / 10

LCM(74,455,550) = 18518500 / 10

LCM(74,455,550) = 1851850


Lets's calculate GCF of 170,103,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1851850/1

Therefore the LCM of Fractions 74/170,455/103,550/355 is 1851850

Greatest Common Factor of 170,103,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,103,355 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 170,103,355 . The biggest common factor number is the GCF number.
So the greatest common factor 170,103,355 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 74/170, 455/103, 550/355

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 74/170, 455/103, 550/355?

Answer: LCM of Numerators as per given numbers 74/170, 455/103, 550/355 is

LCM of Numerators i.e. for 74,455,550 is 1851850

GCF of denominators i.e. for 170,103,355 is 1.

Thus, LCM of Fractions is 1851850.Finally, LCM of Fractions for 74/170, 455/103, 550/355 is 1851850.