Least Common Multiple of 74/284, 152/295, 840/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/284, 152/295, 840/629 quickly i.e. 590520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/284, 152/295, 840/629 is 590520.

LCM(74/284, 152/295, 840/629) = 590520

LCM of 74/284, 152/295, 840/629

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 74/284,152/295,840/629

Given numbers are 74/284,152/295,840/629

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 74,152,840

Least Common Multiple of Numerators i.e. LCM of 74,152,840 is 590520.

GCF of Denominators means GCF of 284,295,629 as per the given fractions.

GCF of 284,295,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,152,840

LCM of Fractions 74/284,152/295,840/629 is 590520

2 74, 152, 840
2 37, 76, 420
2 37, 38, 210
37, 19, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 19 x 105 = 590520

Least Common Multiple of 74,152,840 with GCF Formula

Least Common Multiple of 74,152,840 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 74,152,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,152,840) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(74,152,840) x common factors =2 x 8 = 16

LCM(74,152,840) = ( 74 × 152 × 840 ) / 16

LCM(74,152,840) = 9448320 / 16

LCM(74,152,840) = 590520


Lets's calculate GCF of 284,295,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590520/1

Therefore the LCM of Fractions 74/284,152/295,840/629 is 590520

Greatest Common Factor of 284,295,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,295,629 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 284,295,629 . The biggest common factor number is the GCF number.
So the greatest common factor 284,295,629 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 74/284, 152/295, 840/629

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 74/284, 152/295, 840/629?

Answer: LCM of Numerators as per given numbers 74/284, 152/295, 840/629 is

LCM of Numerators i.e. for 74,152,840 is 590520

GCF of denominators i.e. for 284,295,629 is 1.

Thus, LCM of Fractions is 590520.Finally, LCM of Fractions for 74/284, 152/295, 840/629 is 590520.