Least Common Multiple of 175/90, 978/88, 128/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/90, 978/88, 128/776 quickly i.e. 5476800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/90, 978/88, 128/776 is 5476800.

LCM(175/90, 978/88, 128/776) = 5476800

LCM of 175/90, 978/88, 128/776

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 175/90,978/88,128/776

Given numbers are 175/90,978/88,128/776

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 175,978,128

Least Common Multiple of Numerators i.e. LCM of 175,978,128 is 10953600.

GCF of Denominators means GCF of 90,88,776 as per the given fractions.

GCF of 90,88,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,978,128

LCM of Fractions 175/90,978/88,128/776 is 5476800

2 175, 978, 128
175, 489, 64

∴ So the LCM of the given numbers is 2 x 175 x 489 x 64 = 10953600

Least Common Multiple of 175,978,128 with GCF Formula

Least Common Multiple of 175,978,128 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 175,978,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,978,128) = 1

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

GCF(175,978,128) x common factors =1 x 2 = 2

LCM(175,978,128) = ( 175 × 978 × 128 ) / 2

LCM(175,978,128) = 21907200 / 2

LCM(175,978,128) = 10953600


Lets's calculate GCF of 90,88,776

2 90, 88, 776
45, 44, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10953600/2

Therefore the LCM of Fractions 175/90,978/88,128/776 is 5476800

Greatest Common Factor of 90,88,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,88,776 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

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 90,88,776 . The biggest common factor number is the GCF number.
So the greatest common factor 90,88,776 is 2.


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 175/90, 978/88, 128/776

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 175/90, 978/88, 128/776?

Answer: LCM of Numerators as per given numbers 175/90, 978/88, 128/776 is

LCM of Numerators i.e. for 175,978,128 is 10953600

GCF of denominators i.e. for 90,88,776 is 2.

Thus, LCM of Fractions is 5476800.Finally, LCM of Fractions for 175/90, 978/88, 128/776 is 5476800.