Least Common Multiple of 550/374, 1598/1023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/374, 1598/1023 quickly i.e. 39950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/374, 1598/1023 is 39950.

LCM(550/374, 1598/1023) = 39950

LCM of 550/374, 1598/1023

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 550/374,1598/1023

Given numbers are 550/374,1598/1023

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 550,1598

Least Common Multiple of Numerators i.e. LCM of 550,1598 is 439450.

GCF of Denominators means GCF of 374,1023 as per the given fractions.

GCF of 374,1023 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,1598

LCM of Fractions 550/374,1598/1023 is 39950

2 550, 1598
275, 799

∴ So the LCM of the given numbers is 2 x 275 x 799 = 439450

Least Common Multiple of 550,1598 with GCF Formula

Least Common Multiple of 550,1598 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 550,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,1598) = 2

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

GCF(550,1598) x common factors =2 x 1 = 2

LCM(550,1598) = ( 550 × 1598 ) / 2

LCM(550,1598) = 878900 / 2

LCM(550,1598) = 439450


Lets's calculate GCF of 374,1023

11 374, 1023
34, 93

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439450/11

Therefore the LCM of Fractions 550/374,1598/1023 is 39950

Greatest Common Factor of 374,1023 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,1023 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1,3,11,31,33,93,341,1023

Greatest Common Factor

We found the factors 374,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 374,1023 is 11.


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 550/374, 1598/1023

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 550/374, 1598/1023?

Answer: LCM of Numerators as per given numbers 550/374, 1598/1023 is

LCM of Numerators i.e. for 550,1598 is 439450

GCF of denominators i.e. for 374,1023 is 11.

Thus, LCM of Fractions is 39950.Finally, LCM of Fractions for 550/374, 1598/1023 is 39950.