Least Common Multiple of 2150/840, 5784/9560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2150/840, 5784/9560 quickly i.e. 155445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2150/840, 5784/9560 is 155445.

LCM(2150/840, 5784/9560) = 155445

LCM of 2150/840, 5784/9560

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 2150/840,5784/9560

Given numbers are 2150/840,5784/9560

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 2150,5784

Least Common Multiple of Numerators i.e. LCM of 2150,5784 is 6217800.

GCF of Denominators means GCF of 840,9560 as per the given fractions.

GCF of 840,9560 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2150,5784

LCM of Fractions 2150/840,5784/9560 is 155445

2 2150, 5784
1075, 2892

∴ So the LCM of the given numbers is 2 x 1075 x 2892 = 6217800

Least Common Multiple of 2150,5784 with GCF Formula

Least Common Multiple of 2150,5784 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 2150,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2150,5784) = 2

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

GCF(2150,5784) x common factors =2 x 1 = 2

LCM(2150,5784) = ( 2150 × 5784 ) / 2

LCM(2150,5784) = 12435600 / 2

LCM(2150,5784) = 6217800


Lets's calculate GCF of 840,9560

2 840, 9560
2 420, 4780
2 210, 2390
5 105, 1195
21, 239

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6217800/40

Therefore the LCM of Fractions 2150/840,5784/9560 is 155445

Greatest Common Factor of 840,9560 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,9560 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 9560

List of positive integer factors of 9560 that divides 9560 without a remainder.

1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560

Greatest Common Factor

We found the factors 840,9560 . The biggest common factor number is the GCF number.
So the greatest common factor 840,9560 is 40.


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 2150/840, 5784/9560

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 2150/840, 5784/9560?

Answer: LCM of Numerators as per given numbers 2150/840, 5784/9560 is

LCM of Numerators i.e. for 2150,5784 is 6217800

GCF of denominators i.e. for 840,9560 is 40.

Thus, LCM of Fractions is 155445.Finally, LCM of Fractions for 2150/840, 5784/9560 is 155445.