Least Common Multiple of 28/416, 971/45, 948/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/416, 971/45, 948/156 quickly i.e. 6443556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/416, 971/45, 948/156 is 6443556.

LCM(28/416, 971/45, 948/156) = 6443556

LCM of 28/416, 971/45, 948/156

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 28/416,971/45,948/156

Given numbers are 28/416,971/45,948/156

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 28,971,948

Least Common Multiple of Numerators i.e. LCM of 28,971,948 is 6443556.

GCF of Denominators means GCF of 416,45,156 as per the given fractions.

GCF of 416,45,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,971,948

LCM of Fractions 28/416,971/45,948/156 is 6443556

2 28, 971, 948
2 14, 971, 474
7, 971, 237

∴ So the LCM of the given numbers is 2 x 2 x 7 x 971 x 237 = 6443556

Least Common Multiple of 28,971,948 with GCF Formula

Least Common Multiple of 28,971,948 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 28,971,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,971,948) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,971,948) x common factors =1 x 4 = 4

LCM(28,971,948) = ( 28 × 971 × 948 ) / 4

LCM(28,971,948) = 25774224 / 4

LCM(28,971,948) = 6443556


Lets's calculate GCF of 416,45,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6443556/1

Therefore the LCM of Fractions 28/416,971/45,948/156 is 6443556

Greatest Common Factor of 416,45,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,45,156 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 416,45,156 . The biggest common factor number is the GCF number.
So the greatest common factor 416,45,156 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 28/416, 971/45, 948/156

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 28/416, 971/45, 948/156?

Answer: LCM of Numerators as per given numbers 28/416, 971/45, 948/156 is

LCM of Numerators i.e. for 28,971,948 is 6443556

GCF of denominators i.e. for 416,45,156 is 1.

Thus, LCM of Fractions is 6443556.Finally, LCM of Fractions for 28/416, 971/45, 948/156 is 6443556.