Least Common Multiple of 74/112, 83/493, 564/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/112, 83/493, 564/776 quickly i.e. 1732044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/112, 83/493, 564/776 is 1732044.

LCM(74/112, 83/493, 564/776) = 1732044

LCM of 74/112, 83/493, 564/776

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 74/112,83/493,564/776

Given numbers are 74/112,83/493,564/776

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 74,83,564

Least Common Multiple of Numerators i.e. LCM of 74,83,564 is 1732044.

GCF of Denominators means GCF of 112,493,776 as per the given fractions.

GCF of 112,493,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,83,564

LCM of Fractions 74/112,83/493,564/776 is 1732044

2 74, 83, 564
37, 83, 282

∴ So the LCM of the given numbers is 2 x 37 x 83 x 282 = 1732044

Least Common Multiple of 74,83,564 with GCF Formula

Least Common Multiple of 74,83,564 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 74,83,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,83,564) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,83,564) x common factors =1 x 2 = 2

LCM(74,83,564) = ( 74 × 83 × 564 ) / 2

LCM(74,83,564) = 3464088 / 2

LCM(74,83,564) = 1732044


Lets's calculate GCF of 112,493,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1732044/1

Therefore the LCM of Fractions 74/112,83/493,564/776 is 1732044

Greatest Common Factor of 112,493,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,493,776 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 112,493,776 . The biggest common factor number is the GCF number.
So the greatest common factor 112,493,776 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 74/112, 83/493, 564/776

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 74/112, 83/493, 564/776?

Answer: LCM of Numerators as per given numbers 74/112, 83/493, 564/776 is

LCM of Numerators i.e. for 74,83,564 is 1732044

GCF of denominators i.e. for 112,493,776 is 1.

Thus, LCM of Fractions is 1732044.Finally, LCM of Fractions for 74/112, 83/493, 564/776 is 1732044.