Least Common Multiple of 7888/52, 4778/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7888/52, 4778/462 quickly i.e. 9422216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7888/52, 4778/462 is 9422216.

LCM(7888/52, 4778/462) = 9422216

LCM of 7888/52, 4778/462

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 7888/52,4778/462

Given numbers are 7888/52,4778/462

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 7888,4778

Least Common Multiple of Numerators i.e. LCM of 7888,4778 is 18844432.

GCF of Denominators means GCF of 52,462 as per the given fractions.

GCF of 52,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7888,4778

LCM of Fractions 7888/52,4778/462 is 9422216

2 7888, 4778
3944, 2389

∴ So the LCM of the given numbers is 2 x 3944 x 2389 = 18844432

Least Common Multiple of 7888,4778 with GCF Formula

Least Common Multiple of 7888,4778 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 7888,4778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7888,4778) = 2

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

GCF(7888,4778) x common factors =2 x 1 = 2

LCM(7888,4778) = ( 7888 × 4778 ) / 2

LCM(7888,4778) = 37688864 / 2

LCM(7888,4778) = 18844432


Lets's calculate GCF of 52,462

2 52, 462
26, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18844432/2

Therefore the LCM of Fractions 7888/52,4778/462 is 9422216

Greatest Common Factor of 52,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,462 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 52,462 . The biggest common factor number is the GCF number.
So the greatest common factor 52,462 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 7888/52, 4778/462

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 7888/52, 4778/462?

Answer: LCM of Numerators as per given numbers 7888/52, 4778/462 is

LCM of Numerators i.e. for 7888,4778 is 18844432

GCF of denominators i.e. for 52,462 is 2.

Thus, LCM of Fractions is 9422216.Finally, LCM of Fractions for 7888/52, 4778/462 is 9422216.