Least Common Multiple of 98/474, 656/634, 952/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/474, 656/634, 952/465 quickly i.e. 546448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/474, 656/634, 952/465 is 546448.

LCM(98/474, 656/634, 952/465) = 546448

LCM of 98/474, 656/634, 952/465

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 98/474,656/634,952/465

Given numbers are 98/474,656/634,952/465

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 98,656,952

Least Common Multiple of Numerators i.e. LCM of 98,656,952 is 546448.

GCF of Denominators means GCF of 474,634,465 as per the given fractions.

GCF of 474,634,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,656,952

LCM of Fractions 98/474,656/634,952/465 is 546448

2 98, 656, 952
2 49, 328, 476
2 49, 164, 238
7 49, 82, 119
7, 82, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 7 x 82 x 17 = 546448

Least Common Multiple of 98,656,952 with GCF Formula

Least Common Multiple of 98,656,952 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 98,656,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,656,952) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(98,656,952) x common factors =2 x 56 = 112

LCM(98,656,952) = ( 98 × 656 × 952 ) / 112

LCM(98,656,952) = 61202176 / 112

LCM(98,656,952) = 546448


Lets's calculate GCF of 474,634,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546448/1

Therefore the LCM of Fractions 98/474,656/634,952/465 is 546448

Greatest Common Factor of 474,634,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,634,465 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 474,634,465 . The biggest common factor number is the GCF number.
So the greatest common factor 474,634,465 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 98/474, 656/634, 952/465

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 98/474, 656/634, 952/465?

Answer: LCM of Numerators as per given numbers 98/474, 656/634, 952/465 is

LCM of Numerators i.e. for 98,656,952 is 546448

GCF of denominators i.e. for 474,634,465 is 1.

Thus, LCM of Fractions is 546448.Finally, LCM of Fractions for 98/474, 656/634, 952/465 is 546448.