Least Common Multiple of 90/868, 77/532, 946/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/868, 77/532, 946/410 quickly i.e. 148995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/868, 77/532, 946/410 is 148995.

LCM(90/868, 77/532, 946/410) = 148995

LCM of 90/868, 77/532, 946/410

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 90/868,77/532,946/410

Given numbers are 90/868,77/532,946/410

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 90,77,946

Least Common Multiple of Numerators i.e. LCM of 90,77,946 is 297990.

GCF of Denominators means GCF of 868,532,410 as per the given fractions.

GCF of 868,532,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,77,946

LCM of Fractions 90/868,77/532,946/410 is 148995

2 90, 77, 946
11 45, 77, 473
45, 7, 43

∴ So the LCM of the given numbers is 2 x 11 x 45 x 7 x 43 = 297990

Least Common Multiple of 90,77,946 with GCF Formula

Least Common Multiple of 90,77,946 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 90,77,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,77,946) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(90,77,946) x common factors =1 x 22 = 22

LCM(90,77,946) = ( 90 × 77 × 946 ) / 22

LCM(90,77,946) = 6555780 / 22

LCM(90,77,946) = 297990


Lets's calculate GCF of 868,532,410

2 868, 532, 410
434, 266, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297990/2

Therefore the LCM of Fractions 90/868,77/532,946/410 is 148995

Greatest Common Factor of 868,532,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,532,410 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 868,532,410 . The biggest common factor number is the GCF number.
So the greatest common factor 868,532,410 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 90/868, 77/532, 946/410

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 90/868, 77/532, 946/410?

Answer: LCM of Numerators as per given numbers 90/868, 77/532, 946/410 is

LCM of Numerators i.e. for 90,77,946 is 297990

GCF of denominators i.e. for 868,532,410 is 2.

Thus, LCM of Fractions is 148995.Finally, LCM of Fractions for 90/868, 77/532, 946/410 is 148995.