Least Common Multiple of 98/467, 430/546, 101/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/467, 430/546, 101/952 quickly i.e. 2128070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/467, 430/546, 101/952 is 2128070.

LCM(98/467, 430/546, 101/952) = 2128070

LCM of 98/467, 430/546, 101/952

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 98/467,430/546,101/952

Given numbers are 98/467,430/546,101/952

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 98,430,101

Least Common Multiple of Numerators i.e. LCM of 98,430,101 is 2128070.

GCF of Denominators means GCF of 467,546,952 as per the given fractions.

GCF of 467,546,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,430,101

LCM of Fractions 98/467,430/546,101/952 is 2128070

2 98, 430, 101
49, 215, 101

∴ So the LCM of the given numbers is 2 x 49 x 215 x 101 = 2128070

Least Common Multiple of 98,430,101 with GCF Formula

Least Common Multiple of 98,430,101 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 98,430,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,430,101) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,430,101) x common factors =1 x 2 = 2

LCM(98,430,101) = ( 98 × 430 × 101 ) / 2

LCM(98,430,101) = 4256140 / 2

LCM(98,430,101) = 2128070


Lets's calculate GCF of 467,546,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2128070/1

Therefore the LCM of Fractions 98/467,430/546,101/952 is 2128070

Greatest Common Factor of 467,546,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,546,952 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 467,546,952 . The biggest common factor number is the GCF number.
So the greatest common factor 467,546,952 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 98/467, 430/546, 101/952

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 98/467, 430/546, 101/952?

Answer: LCM of Numerators as per given numbers 98/467, 430/546, 101/952 is

LCM of Numerators i.e. for 98,430,101 is 2128070

GCF of denominators i.e. for 467,546,952 is 1.

Thus, LCM of Fractions is 2128070.Finally, LCM of Fractions for 98/467, 430/546, 101/952 is 2128070.