Least Common Multiple of 942/92, 828/30, 458/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/92, 828/30, 458/700 quickly i.e. 14884542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/92, 828/30, 458/700 is 14884542.

LCM(942/92, 828/30, 458/700) = 14884542

LCM of 942/92, 828/30, 458/700

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 942/92,828/30,458/700

Given numbers are 942/92,828/30,458/700

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 942,828,458

Least Common Multiple of Numerators i.e. LCM of 942,828,458 is 29769084.

GCF of Denominators means GCF of 92,30,700 as per the given fractions.

GCF of 92,30,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,828,458

LCM of Fractions 942/92,828/30,458/700 is 14884542

2 942, 828, 458
3 471, 414, 229
157, 138, 229

∴ So the LCM of the given numbers is 2 x 3 x 157 x 138 x 229 = 29769084

Least Common Multiple of 942,828,458 with GCF Formula

Least Common Multiple of 942,828,458 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 942,828,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,828,458) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(942,828,458) x common factors =2 x 6 = 12

LCM(942,828,458) = ( 942 × 828 × 458 ) / 12

LCM(942,828,458) = 357229008 / 12

LCM(942,828,458) = 29769084


Lets's calculate GCF of 92,30,700

2 92, 30, 700
46, 15, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29769084/2

Therefore the LCM of Fractions 942/92,828/30,458/700 is 14884542

Greatest Common Factor of 92,30,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,30,700 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 92,30,700 . The biggest common factor number is the GCF number.
So the greatest common factor 92,30,700 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 942/92, 828/30, 458/700

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 942/92, 828/30, 458/700?

Answer: LCM of Numerators as per given numbers 942/92, 828/30, 458/700 is

LCM of Numerators i.e. for 942,828,458 is 29769084

GCF of denominators i.e. for 92,30,700 is 2.

Thus, LCM of Fractions is 14884542.Finally, LCM of Fractions for 942/92, 828/30, 458/700 is 14884542.