Least Common Multiple of 98/42, 74/69, 70/67, 88/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/42, 74/69, 70/67, 88/486 quickly i.e. 797720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/42, 74/69, 70/67, 88/486 is 797720.

LCM(98/42, 74/69, 70/67, 88/486) = 797720

LCM of 98/42, 74/69, 70/67, 88/486

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 98/42,74/69,70/67,88/486

Given numbers are 98/42,74/69,70/67,88/486

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 98,74,70,88

Least Common Multiple of Numerators i.e. LCM of 98,74,70,88 is 797720.

GCF of Denominators means GCF of 42,69,67,486 as per the given fractions.

GCF of 42,69,67,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,74,70,88

LCM of Fractions 98/42,74/69,70/67,88/486 is 797720

2 98, 74, 70, 88
7 49, 37, 35, 44
7, 37, 5, 44

∴ So the LCM of the given numbers is 2 x 7 x 7 x 37 x 5 x 44 = 797720

Least Common Multiple of 98,74,70,88 with GCF Formula

Least Common Multiple of 98,74,70,88 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 98,74,70,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,74,70,88) = 2

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

GCF(98,74,70,88) x common factors =2 x 28 = 56

LCM(98,74,70,88) = ( 98 × 74 × 70 × 88 ) / 56

LCM(98,74,70,88) = 44672320 / 56

LCM(98,74,70,88) = 797720


Lets's calculate GCF of 42,69,67,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797720/1

Therefore the LCM of Fractions 98/42,74/69,70/67,88/486 is 797720

Greatest Common Factor of 42,69,67,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,69,67,486 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 42,69,67,486 . The biggest common factor number is the GCF number.
So the greatest common factor 42,69,67,486 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 98/42, 74/69, 70/67, 88/486

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 98/42, 74/69, 70/67, 88/486?

Answer: LCM of Numerators as per given numbers 98/42, 74/69, 70/67, 88/486 is

LCM of Numerators i.e. for 98,74,70,88 is 797720

GCF of denominators i.e. for 42,69,67,486 is 1.

Thus, LCM of Fractions is 797720.Finally, LCM of Fractions for 98/42, 74/69, 70/67, 88/486 is 797720.