Least Common Multiple of 840/472, 6288/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 840/472, 6288/850 quickly i.e. 110040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/472, 6288/850 is 110040.

LCM(840/472, 6288/850) = 110040

LCM of 840/472, 6288/850

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 840/472,6288/850

Given numbers are 840/472,6288/850

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 840,6288

Least Common Multiple of Numerators i.e. LCM of 840,6288 is 220080.

GCF of Denominators means GCF of 472,850 as per the given fractions.

GCF of 472,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,6288

LCM of Fractions 840/472,6288/850 is 110040

2 840, 6288
2 420, 3144
2 210, 1572
3 105, 786
35, 262

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 262 = 220080

Least Common Multiple of 840,6288 with GCF Formula

Least Common Multiple of 840,6288 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 840,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,6288) = 24

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

GCF(840,6288) x common factors =24 x 1 = 24

LCM(840,6288) = ( 840 × 6288 ) / 24

LCM(840,6288) = 5281920 / 24

LCM(840,6288) = 220080


Lets's calculate GCF of 472,850

2 472, 850
236, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220080/2

Therefore the LCM of Fractions 840/472,6288/850 is 110040

Greatest Common Factor of 472,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,850 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 472,850 . The biggest common factor number is the GCF number.
So the greatest common factor 472,850 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 840/472, 6288/850

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 840/472, 6288/850?

Answer: LCM of Numerators as per given numbers 840/472, 6288/850 is

LCM of Numerators i.e. for 840,6288 is 220080

GCF of denominators i.e. for 472,850 is 2.

Thus, LCM of Fractions is 110040.Finally, LCM of Fractions for 840/472, 6288/850 is 110040.