Least Common Multiple of 88/748, 469/872, 864/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/748, 469/872, 864/600 quickly i.e. 1114344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/748, 469/872, 864/600 is 1114344.

LCM(88/748, 469/872, 864/600) = 1114344

LCM of 88/748, 469/872, 864/600

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 88/748,469/872,864/600

Given numbers are 88/748,469/872,864/600

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 88,469,864

Least Common Multiple of Numerators i.e. LCM of 88,469,864 is 4457376.

GCF of Denominators means GCF of 748,872,600 as per the given fractions.

GCF of 748,872,600 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,469,864

LCM of Fractions 88/748,469/872,864/600 is 1114344

2 88, 469, 864
2 44, 469, 432
2 22, 469, 216
11, 469, 108

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 469 x 108 = 4457376

Least Common Multiple of 88,469,864 with GCF Formula

Least Common Multiple of 88,469,864 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 88,469,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,469,864) = 1

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

GCF(88,469,864) x common factors =1 x 8 = 8

LCM(88,469,864) = ( 88 × 469 × 864 ) / 8

LCM(88,469,864) = 35659008 / 8

LCM(88,469,864) = 4457376


Lets's calculate GCF of 748,872,600

2 748, 872, 600
2 374, 436, 300
187, 218, 150

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4457376/4

Therefore the LCM of Fractions 88/748,469/872,864/600 is 1114344

Greatest Common Factor of 748,872,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,872,600 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 748,872,600 . The biggest common factor number is the GCF number.
So the greatest common factor 748,872,600 is 4.


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 88/748, 469/872, 864/600

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 88/748, 469/872, 864/600?

Answer: LCM of Numerators as per given numbers 88/748, 469/872, 864/600 is

LCM of Numerators i.e. for 88,469,864 is 4457376

GCF of denominators i.e. for 748,872,600 is 4.

Thus, LCM of Fractions is 1114344.Finally, LCM of Fractions for 88/748, 469/872, 864/600 is 1114344.