Least Common Multiple of 5552/84, 2600/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5552/84, 2600/286 quickly i.e. 902200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5552/84, 2600/286 is 902200.

LCM(5552/84, 2600/286) = 902200

LCM of 5552/84, 2600/286

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 5552/84,2600/286

Given numbers are 5552/84,2600/286

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 5552,2600

Least Common Multiple of Numerators i.e. LCM of 5552,2600 is 1804400.

GCF of Denominators means GCF of 84,286 as per the given fractions.

GCF of 84,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5552,2600

LCM of Fractions 5552/84,2600/286 is 902200

2 5552, 2600
2 2776, 1300
2 1388, 650
694, 325

∴ So the LCM of the given numbers is 2 x 2 x 2 x 694 x 325 = 1804400

Least Common Multiple of 5552,2600 with GCF Formula

Least Common Multiple of 5552,2600 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 5552,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5552,2600) = 8

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

GCF(5552,2600) x common factors =8 x 1 = 8

LCM(5552,2600) = ( 5552 × 2600 ) / 8

LCM(5552,2600) = 14435200 / 8

LCM(5552,2600) = 1804400


Lets's calculate GCF of 84,286

2 84, 286
42, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1804400/2

Therefore the LCM of Fractions 5552/84,2600/286 is 902200

Greatest Common Factor of 84,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,286 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 84,286 . The biggest common factor number is the GCF number.
So the greatest common factor 84,286 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 5552/84, 2600/286

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 5552/84, 2600/286?

Answer: LCM of Numerators as per given numbers 5552/84, 2600/286 is

LCM of Numerators i.e. for 5552,2600 is 1804400

GCF of denominators i.e. for 84,286 is 2.

Thus, LCM of Fractions is 902200.Finally, LCM of Fractions for 5552/84, 2600/286 is 902200.