Least Common Multiple of 44/354, 14/428, 952/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/354, 14/428, 952/748 quickly i.e. 5236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/354, 14/428, 952/748 is 5236.

LCM(44/354, 14/428, 952/748) = 5236

LCM of 44/354, 14/428, 952/748

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 44/354,14/428,952/748

Given numbers are 44/354,14/428,952/748

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 44,14,952

Least Common Multiple of Numerators i.e. LCM of 44,14,952 is 10472.

GCF of Denominators means GCF of 354,428,748 as per the given fractions.

GCF of 354,428,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,14,952

LCM of Fractions 44/354,14/428,952/748 is 5236

2 44, 14, 952
2 22, 7, 476
7 11, 7, 238
11, 1, 34

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 1 x 34 = 10472

Least Common Multiple of 44,14,952 with GCF Formula

Least Common Multiple of 44,14,952 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 44,14,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,14,952) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(44,14,952) x common factors =2 x 28 = 56

LCM(44,14,952) = ( 44 × 14 × 952 ) / 56

LCM(44,14,952) = 586432 / 56

LCM(44,14,952) = 10472


Lets's calculate GCF of 354,428,748

2 354, 428, 748
177, 214, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10472/2

Therefore the LCM of Fractions 44/354,14/428,952/748 is 5236

Greatest Common Factor of 354,428,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,428,748 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 354,428,748 . The biggest common factor number is the GCF number.
So the greatest common factor 354,428,748 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 44/354, 14/428, 952/748

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 44/354, 14/428, 952/748?

Answer: LCM of Numerators as per given numbers 44/354, 14/428, 952/748 is

LCM of Numerators i.e. for 44,14,952 is 10472

GCF of denominators i.e. for 354,428,748 is 2.

Thus, LCM of Fractions is 5236.Finally, LCM of Fractions for 44/354, 14/428, 952/748 is 5236.