Least Common Multiple of 55/70, 71/32, 662/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/70, 71/32, 662/312 quickly i.e. 1292555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/70, 71/32, 662/312 is 1292555.

LCM(55/70, 71/32, 662/312) = 1292555

LCM of 55/70, 71/32, 662/312

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 55/70,71/32,662/312

Given numbers are 55/70,71/32,662/312

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 55,71,662

Least Common Multiple of Numerators i.e. LCM of 55,71,662 is 2585110.

GCF of Denominators means GCF of 70,32,312 as per the given fractions.

GCF of 70,32,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,71,662

LCM of Fractions 55/70,71/32,662/312 is 1292555

Given numbers has no common factors except 1. So, there LCM is their product i.e 2585110

Least Common Multiple of 55,71,662 with GCF Formula

Least Common Multiple of 55,71,662 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 55,71,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,71,662) = 1

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

GCF(55,71,662) x common factors =1 x 1 = 1

LCM(55,71,662) = ( 55 × 71 × 662 ) / 1

LCM(55,71,662) = 2585110 / 1

LCM(55,71,662) = 2585110


Lets's calculate GCF of 70,32,312

2 70, 32, 312
35, 16, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2585110/2

Therefore the LCM of Fractions 55/70,71/32,662/312 is 1292555

Greatest Common Factor of 70,32,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,32,312 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 70,32,312 . The biggest common factor number is the GCF number.
So the greatest common factor 70,32,312 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 55/70, 71/32, 662/312

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 55/70, 71/32, 662/312?

Answer: LCM of Numerators as per given numbers 55/70, 71/32, 662/312 is

LCM of Numerators i.e. for 55,71,662 is 2585110

GCF of denominators i.e. for 70,32,312 is 2.

Thus, LCM of Fractions is 1292555.Finally, LCM of Fractions for 55/70, 71/32, 662/312 is 1292555.