Least Common Multiple of 55/915, 97/421, 769/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/915, 97/421, 769/210 quickly i.e. 4102615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/915, 97/421, 769/210 is 4102615.

LCM(55/915, 97/421, 769/210) = 4102615

LCM of 55/915, 97/421, 769/210

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 55/915,97/421,769/210

Given numbers are 55/915,97/421,769/210

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 55,97,769

Least Common Multiple of Numerators i.e. LCM of 55,97,769 is 4102615.

GCF of Denominators means GCF of 915,421,210 as per the given fractions.

GCF of 915,421,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,97,769

LCM of Fractions 55/915,97/421,769/210 is 4102615

Given numbers has no common factors except 1. So, there LCM is their product i.e 4102615

Least Common Multiple of 55,97,769 with GCF Formula

Least Common Multiple of 55,97,769 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 55,97,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,97,769) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,97,769) x common factors =1 x 1 = 1

LCM(55,97,769) = ( 55 × 97 × 769 ) / 1

LCM(55,97,769) = 4102615 / 1

LCM(55,97,769) = 4102615


Lets's calculate GCF of 915,421,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4102615/1

Therefore the LCM of Fractions 55/915,97/421,769/210 is 4102615

Greatest Common Factor of 915,421,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,421,210 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 915,421,210 . The biggest common factor number is the GCF number.
So the greatest common factor 915,421,210 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 55/915, 97/421, 769/210

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 55/915, 97/421, 769/210?

Answer: LCM of Numerators as per given numbers 55/915, 97/421, 769/210 is

LCM of Numerators i.e. for 55,97,769 is 4102615

GCF of denominators i.e. for 915,421,210 is 1.

Thus, LCM of Fractions is 4102615.Finally, LCM of Fractions for 55/915, 97/421, 769/210 is 4102615.