Least Common Multiple of 784/45, 892/28, 126/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/45, 892/28, 126/74 quickly i.e. 1573488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/45, 892/28, 126/74 is 1573488.

LCM(784/45, 892/28, 126/74) = 1573488

LCM of 784/45, 892/28, 126/74

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 784/45,892/28,126/74

Given numbers are 784/45,892/28,126/74

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 784,892,126

Least Common Multiple of Numerators i.e. LCM of 784,892,126 is 1573488.

GCF of Denominators means GCF of 45,28,74 as per the given fractions.

GCF of 45,28,74 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,892,126

LCM of Fractions 784/45,892/28,126/74 is 1573488

2 784, 892, 126
2 392, 446, 63
7 196, 223, 63
28, 223, 9

∴ So the LCM of the given numbers is 2 x 2 x 7 x 28 x 223 x 9 = 1573488

Least Common Multiple of 784,892,126 with GCF Formula

Least Common Multiple of 784,892,126 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 784,892,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,892,126) = 2

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

GCF(784,892,126) x common factors =2 x 28 = 56

LCM(784,892,126) = ( 784 × 892 × 126 ) / 56

LCM(784,892,126) = 88115328 / 56

LCM(784,892,126) = 1573488


Lets's calculate GCF of 45,28,74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1573488/1

Therefore the LCM of Fractions 784/45,892/28,126/74 is 1573488

Greatest Common Factor of 45,28,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,28,74 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 45,28,74 . The biggest common factor number is the GCF number.
So the greatest common factor 45,28,74 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 784/45, 892/28, 126/74

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 784/45, 892/28, 126/74?

Answer: LCM of Numerators as per given numbers 784/45, 892/28, 126/74 is

LCM of Numerators i.e. for 784,892,126 is 1573488

GCF of denominators i.e. for 45,28,74 is 1.

Thus, LCM of Fractions is 1573488.Finally, LCM of Fractions for 784/45, 892/28, 126/74 is 1573488.