Least Common Multiple of 48/948, 930/545, 385/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/948, 930/545, 385/379 quickly i.e. 572880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/948, 930/545, 385/379 is 572880.

LCM(48/948, 930/545, 385/379) = 572880

LCM of 48/948, 930/545, 385/379

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 48/948,930/545,385/379

Given numbers are 48/948,930/545,385/379

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 48,930,385

Least Common Multiple of Numerators i.e. LCM of 48,930,385 is 572880.

GCF of Denominators means GCF of 948,545,379 as per the given fractions.

GCF of 948,545,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,930,385

LCM of Fractions 48/948,930/545,385/379 is 572880

2 48, 930, 385
3 24, 465, 385
5 8, 155, 385
8, 31, 77

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 31 x 77 = 572880

Least Common Multiple of 48,930,385 with GCF Formula

Least Common Multiple of 48,930,385 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 48,930,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,930,385) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(48,930,385) x common factors =1 x 30 = 30

LCM(48,930,385) = ( 48 × 930 × 385 ) / 30

LCM(48,930,385) = 17186400 / 30

LCM(48,930,385) = 572880


Lets's calculate GCF of 948,545,379

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572880/1

Therefore the LCM of Fractions 48/948,930/545,385/379 is 572880

Greatest Common Factor of 948,545,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,545,379 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 948,545,379 . The biggest common factor number is the GCF number.
So the greatest common factor 948,545,379 is 1.


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 48/948, 930/545, 385/379

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 48/948, 930/545, 385/379?

Answer: LCM of Numerators as per given numbers 48/948, 930/545, 385/379 is

LCM of Numerators i.e. for 48,930,385 is 572880

GCF of denominators i.e. for 948,545,379 is 1.

Thus, LCM of Fractions is 572880.Finally, LCM of Fractions for 48/948, 930/545, 385/379 is 572880.