Least Common Multiple of 10/334, 2780/1950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/334, 2780/1950 quickly i.e. 1390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/334, 2780/1950 is 1390.

LCM(10/334, 2780/1950) = 1390

LCM of 10/334, 2780/1950

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 10/334,2780/1950

Given numbers are 10/334,2780/1950

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 10,2780

Least Common Multiple of Numerators i.e. LCM of 10,2780 is 2780.

GCF of Denominators means GCF of 334,1950 as per the given fractions.

GCF of 334,1950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,2780

LCM of Fractions 10/334,2780/1950 is 1390

2 10, 2780
5 5, 1390
1, 278

∴ So the LCM of the given numbers is 2 x 5 x 1 x 278 = 2780

Least Common Multiple of 10,2780 with GCF Formula

Least Common Multiple of 10,2780 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 10,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,2780) = 10

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

GCF(10,2780) x common factors =10 x 1 = 10

LCM(10,2780) = ( 10 × 2780 ) / 10

LCM(10,2780) = 27800 / 10

LCM(10,2780) = 2780


Lets's calculate GCF of 334,1950

2 334, 1950
167, 975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2780/2

Therefore the LCM of Fractions 10/334,2780/1950 is 1390

Greatest Common Factor of 334,1950 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,1950 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Greatest Common Factor

We found the factors 334,1950 . The biggest common factor number is the GCF number.
So the greatest common factor 334,1950 is 2.


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 10/334, 2780/1950

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 10/334, 2780/1950?

Answer: LCM of Numerators as per given numbers 10/334, 2780/1950 is

LCM of Numerators i.e. for 10,2780 is 2780

GCF of denominators i.e. for 334,1950 is 2.

Thus, LCM of Fractions is 1390.Finally, LCM of Fractions for 10/334, 2780/1950 is 1390.