Least Common Multiple of 578/88, 264/94, 480/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/88, 264/94, 480/420 quickly i.e. 762960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/88, 264/94, 480/420 is 762960.

LCM(578/88, 264/94, 480/420) = 762960

LCM of 578/88, 264/94, 480/420

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 578/88,264/94,480/420

Given numbers are 578/88,264/94,480/420

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 578,264,480

Least Common Multiple of Numerators i.e. LCM of 578,264,480 is 1525920.

GCF of Denominators means GCF of 88,94,420 as per the given fractions.

GCF of 88,94,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,264,480

LCM of Fractions 578/88,264/94,480/420 is 762960

2 578, 264, 480
2 289, 132, 240
2 289, 66, 120
3 289, 33, 60
289, 11, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 289 x 11 x 20 = 1525920

Least Common Multiple of 578,264,480 with GCF Formula

Least Common Multiple of 578,264,480 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 578,264,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,264,480) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(578,264,480) x common factors =2 x 24 = 48

LCM(578,264,480) = ( 578 × 264 × 480 ) / 48

LCM(578,264,480) = 73244160 / 48

LCM(578,264,480) = 1525920


Lets's calculate GCF of 88,94,420

2 88, 94, 420
44, 47, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1525920/2

Therefore the LCM of Fractions 578/88,264/94,480/420 is 762960

Greatest Common Factor of 88,94,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,94,420 By Matching Biggest Common Factor Method

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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 88,94,420 . The biggest common factor number is the GCF number.
So the greatest common factor 88,94,420 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 578/88, 264/94, 480/420

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 578/88, 264/94, 480/420?

Answer: LCM of Numerators as per given numbers 578/88, 264/94, 480/420 is

LCM of Numerators i.e. for 578,264,480 is 1525920

GCF of denominators i.e. for 88,94,420 is 2.

Thus, LCM of Fractions is 762960.Finally, LCM of Fractions for 578/88, 264/94, 480/420 is 762960.