Least Common Multiple of 74/851, 7616/8984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/851, 7616/8984 quickly i.e. 281792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/851, 7616/8984 is 281792.

LCM(74/851, 7616/8984) = 281792

LCM of 74/851, 7616/8984

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 74/851,7616/8984

Given numbers are 74/851,7616/8984

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 74,7616

Least Common Multiple of Numerators i.e. LCM of 74,7616 is 281792.

GCF of Denominators means GCF of 851,8984 as per the given fractions.

GCF of 851,8984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,7616

LCM of Fractions 74/851,7616/8984 is 281792

2 74, 7616
37, 3808

∴ So the LCM of the given numbers is 2 x 37 x 3808 = 281792

Least Common Multiple of 74,7616 with GCF Formula

Least Common Multiple of 74,7616 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 74,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,7616) = 2

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

GCF(74,7616) x common factors =2 x 1 = 2

LCM(74,7616) = ( 74 × 7616 ) / 2

LCM(74,7616) = 563584 / 2

LCM(74,7616) = 281792


Lets's calculate GCF of 851,8984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281792/1

Therefore the LCM of Fractions 74/851,7616/8984 is 281792

Greatest Common Factor of 851,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,8984 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 851,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 851,8984 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 74/851, 7616/8984

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 74/851, 7616/8984?

Answer: LCM of Numerators as per given numbers 74/851, 7616/8984 is

LCM of Numerators i.e. for 74,7616 is 281792

GCF of denominators i.e. for 851,8984 is 1.

Thus, LCM of Fractions is 281792.Finally, LCM of Fractions for 74/851, 7616/8984 is 281792.