Least Common Multiple of 40/220, 684/588, 919/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/220, 684/588, 919/136 quickly i.e. 1571490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/220, 684/588, 919/136 is 1571490.

LCM(40/220, 684/588, 919/136) = 1571490

LCM of 40/220, 684/588, 919/136

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 40/220,684/588,919/136

Given numbers are 40/220,684/588,919/136

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 40,684,919

Least Common Multiple of Numerators i.e. LCM of 40,684,919 is 6285960.

GCF of Denominators means GCF of 220,588,136 as per the given fractions.

GCF of 220,588,136 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,684,919

LCM of Fractions 40/220,684/588,919/136 is 1571490

2 40, 684, 919
2 20, 342, 919
10, 171, 919

∴ So the LCM of the given numbers is 2 x 2 x 10 x 171 x 919 = 6285960

Least Common Multiple of 40,684,919 with GCF Formula

Least Common Multiple of 40,684,919 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 40,684,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,684,919) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,684,919) x common factors =1 x 4 = 4

LCM(40,684,919) = ( 40 × 684 × 919 ) / 4

LCM(40,684,919) = 25143840 / 4

LCM(40,684,919) = 6285960


Lets's calculate GCF of 220,588,136

2 220, 588, 136
2 110, 294, 68
55, 147, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6285960/4

Therefore the LCM of Fractions 40/220,684/588,919/136 is 1571490

Greatest Common Factor of 220,588,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,588,136 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 220,588,136 . The biggest common factor number is the GCF number.
So the greatest common factor 220,588,136 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 40/220, 684/588, 919/136

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 40/220, 684/588, 919/136?

Answer: LCM of Numerators as per given numbers 40/220, 684/588, 919/136 is

LCM of Numerators i.e. for 40,684,919 is 6285960

GCF of denominators i.e. for 220,588,136 is 4.

Thus, LCM of Fractions is 1571490.Finally, LCM of Fractions for 40/220, 684/588, 919/136 is 1571490.