Least Common Multiple of 45/22, 510/86, 360/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/22, 510/86, 360/776 quickly i.e. 3060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/22, 510/86, 360/776 is 3060.

LCM(45/22, 510/86, 360/776) = 3060

LCM of 45/22, 510/86, 360/776

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 45/22,510/86,360/776

Given numbers are 45/22,510/86,360/776

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 45,510,360

Least Common Multiple of Numerators i.e. LCM of 45,510,360 is 6120.

GCF of Denominators means GCF of 22,86,776 as per the given fractions.

GCF of 22,86,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,510,360

LCM of Fractions 45/22,510/86,360/776 is 3060

2 45, 510, 360
3 45, 255, 180
3 15, 85, 60
5 5, 85, 20
1, 17, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 17 x 4 = 6120

Least Common Multiple of 45,510,360 with GCF Formula

Least Common Multiple of 45,510,360 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 45,510,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,510,360) = 15

common factors(in case of two or more numbers have common factors) = 90

GCF(45,510,360) x common factors =15 x 90 = 1350

LCM(45,510,360) = ( 45 × 510 × 360 ) / 1350

LCM(45,510,360) = 8262000 / 1350

LCM(45,510,360) = 6120


Lets's calculate GCF of 22,86,776

2 22, 86, 776
11, 43, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/2

Therefore the LCM of Fractions 45/22,510/86,360/776 is 3060

Greatest Common Factor of 22,86,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,86,776 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 22,86,776 . The biggest common factor number is the GCF number.
So the greatest common factor 22,86,776 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 45/22, 510/86, 360/776

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 45/22, 510/86, 360/776?

Answer: LCM of Numerators as per given numbers 45/22, 510/86, 360/776 is

LCM of Numerators i.e. for 45,510,360 is 6120

GCF of denominators i.e. for 22,86,776 is 2.

Thus, LCM of Fractions is 3060.Finally, LCM of Fractions for 45/22, 510/86, 360/776 is 3060.