Least Common Multiple of 85/48, 123/98, 635/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/48, 123/98, 635/850 quickly i.e. 1327785/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/48, 123/98, 635/850 is 1327785/2.

LCM(85/48, 123/98, 635/850) = 1327785/2

LCM of 85/48, 123/98, 635/850

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 85/48,123/98,635/850

Given numbers are 85/48,123/98,635/850

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 85,123,635

Least Common Multiple of Numerators i.e. LCM of 85,123,635 is 1327785.

GCF of Denominators means GCF of 48,98,850 as per the given fractions.

GCF of 48,98,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,123,635

LCM of Fractions 85/48,123/98,635/850 is 1327785/2

5 85, 123, 635
17, 123, 127

∴ So the LCM of the given numbers is 5 x 17 x 123 x 127 = 1327785

Least Common Multiple of 85,123,635 with GCF Formula

Least Common Multiple of 85,123,635 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 85,123,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,123,635) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,123,635) x common factors =1 x 5 = 5

LCM(85,123,635) = ( 85 × 123 × 635 ) / 5

LCM(85,123,635) = 6638925 / 5

LCM(85,123,635) = 1327785


Lets's calculate GCF of 48,98,850

2 48, 98, 850
24, 49, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1327785/2

Therefore the LCM of Fractions 85/48,123/98,635/850 is 1327785/2

Greatest Common Factor of 48,98,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,98,850 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 48,98,850 . The biggest common factor number is the GCF number.
So the greatest common factor 48,98,850 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 85/48, 123/98, 635/850

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 85/48, 123/98, 635/850?

Answer: LCM of Numerators as per given numbers 85/48, 123/98, 635/850 is

LCM of Numerators i.e. for 85,123,635 is 1327785

GCF of denominators i.e. for 48,98,850 is 2.

Thus, LCM of Fractions is 1327785/2.Finally, LCM of Fractions for 85/48, 123/98, 635/850 is 1327785/2.