Least Common Multiple of 10/895, 28/200, 984/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/895, 28/200, 984/949 quickly i.e. 34440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/895, 28/200, 984/949 is 34440.

LCM(10/895, 28/200, 984/949) = 34440

LCM of 10/895, 28/200, 984/949

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 10/895,28/200,984/949

Given numbers are 10/895,28/200,984/949

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 10,28,984

Least Common Multiple of Numerators i.e. LCM of 10,28,984 is 34440.

GCF of Denominators means GCF of 895,200,949 as per the given fractions.

GCF of 895,200,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,28,984

LCM of Fractions 10/895,28/200,984/949 is 34440

2 10, 28, 984
2 5, 14, 492
5, 7, 246

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 246 = 34440

Least Common Multiple of 10,28,984 with GCF Formula

Least Common Multiple of 10,28,984 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 10,28,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,28,984) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(10,28,984) x common factors =2 x 4 = 8

LCM(10,28,984) = ( 10 × 28 × 984 ) / 8

LCM(10,28,984) = 275520 / 8

LCM(10,28,984) = 34440


Lets's calculate GCF of 895,200,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34440/1

Therefore the LCM of Fractions 10/895,28/200,984/949 is 34440

Greatest Common Factor of 895,200,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,200,949 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 895,200,949 . The biggest common factor number is the GCF number.
So the greatest common factor 895,200,949 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 10/895, 28/200, 984/949

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 10/895, 28/200, 984/949?

Answer: LCM of Numerators as per given numbers 10/895, 28/200, 984/949 is

LCM of Numerators i.e. for 10,28,984 is 34440

GCF of denominators i.e. for 895,200,949 is 1.

Thus, LCM of Fractions is 34440.Finally, LCM of Fractions for 10/895, 28/200, 984/949 is 34440.