Least Common Multiple of 55/46, 70/10, 376/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/46, 70/10, 376/928 quickly i.e. 72380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/46, 70/10, 376/928 is 72380.

LCM(55/46, 70/10, 376/928) = 72380

LCM of 55/46, 70/10, 376/928

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 55/46,70/10,376/928

Given numbers are 55/46,70/10,376/928

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 55,70,376

Least Common Multiple of Numerators i.e. LCM of 55,70,376 is 144760.

GCF of Denominators means GCF of 46,10,928 as per the given fractions.

GCF of 46,10,928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,70,376

LCM of Fractions 55/46,70/10,376/928 is 72380

2 55, 70, 376
5 55, 35, 188
11, 7, 188

∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 188 = 144760

Least Common Multiple of 55,70,376 with GCF Formula

Least Common Multiple of 55,70,376 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 55,70,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,70,376) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(55,70,376) x common factors =1 x 10 = 10

LCM(55,70,376) = ( 55 × 70 × 376 ) / 10

LCM(55,70,376) = 1447600 / 10

LCM(55,70,376) = 144760


Lets's calculate GCF of 46,10,928

2 46, 10, 928
23, 5, 464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144760/2

Therefore the LCM of Fractions 55/46,70/10,376/928 is 72380

Greatest Common Factor of 46,10,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,10,928 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 46,10,928 . The biggest common factor number is the GCF number.
So the greatest common factor 46,10,928 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 55/46, 70/10, 376/928

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 55/46, 70/10, 376/928?

Answer: LCM of Numerators as per given numbers 55/46, 70/10, 376/928 is

LCM of Numerators i.e. for 55,70,376 is 144760

GCF of denominators i.e. for 46,10,928 is 2.

Thus, LCM of Fractions is 72380.Finally, LCM of Fractions for 55/46, 70/10, 376/928 is 72380.