Least Common Multiple of 380/52, 950/1020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/52, 950/1020 quickly i.e. 475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/52, 950/1020 is 475.

LCM(380/52, 950/1020) = 475

LCM of 380/52, 950/1020

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 380/52,950/1020

Given numbers are 380/52,950/1020

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 380,950

Least Common Multiple of Numerators i.e. LCM of 380,950 is 1900.

GCF of Denominators means GCF of 52,1020 as per the given fractions.

GCF of 52,1020 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,950

LCM of Fractions 380/52,950/1020 is 475

2 380, 950
5 190, 475
19 38, 95
2, 5

∴ So the LCM of the given numbers is 2 x 5 x 19 x 2 x 5 = 1900

Least Common Multiple of 380,950 with GCF Formula

Least Common Multiple of 380,950 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 380,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,950) = 190

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

GCF(380,950) x common factors =190 x 1 = 190

LCM(380,950) = ( 380 × 950 ) / 190

LCM(380,950) = 361000 / 190

LCM(380,950) = 1900


Lets's calculate GCF of 52,1020

2 52, 1020
2 26, 510
13, 255

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1900/4

Therefore the LCM of Fractions 380/52,950/1020 is 475

Greatest Common Factor of 52,1020 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,1020 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Greatest Common Factor

We found the factors 52,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1020 is 4.


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 380/52, 950/1020

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 380/52, 950/1020?

Answer: LCM of Numerators as per given numbers 380/52, 950/1020 is

LCM of Numerators i.e. for 380,950 is 1900

GCF of denominators i.e. for 52,1020 is 4.

Thus, LCM of Fractions is 475.Finally, LCM of Fractions for 380/52, 950/1020 is 475.